# How do you write an equation of a line that passes through two points?

## How do you write an equation of a line that passes through two points?

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

What is the equation of the line that passes through the point (- 4 2 and has a slope of?

We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 Final answer!

How do you find the equation of a line that passes through a point?

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

### What is the equation of the line that passes through the point − 2 7 and has a slope of zero?

Answer: y = 7 is the equation of the line that passes through the point ( -2, 7 ) and has a slope of zero.

What is the equation of a line with a zero slope?

A zero slope line is a straight, perfectly flat line running along the horizontal axis of a Cartesian plane. The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line’s slope is 0 (m = 0).

What is the equation of the line that passes through the point 2 3 and has a slope of zero?

Explanation: Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation y = 3 as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph.

## Which is the slope of the line that passes through the points 3 17 and 7 25 )?

What is the equation of the line that passes through the point (- 8/5 and has a slope of 0?

1 Expert Answer The equation is y = 5. Therefore y = mx + b and y = 0x + 5 or y = 5.

What is the equation of the line that passes through the point (- 2 5 and has a slope of zero?

The slope is undefined, AND there is no y intercept. There is no y=mx+b that fits in this situation. The equation of this line is x=2.

### How do you write in slope intercept form?

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept–this should be of the form (0, b). The y- coordinate is the value of b in the equation.

How can you find the slope of the line that passes through the points 0 0 and 2 4 explain?

The slope formula is y2 – y1 / x2 – x1. We have two points: (0,0) (2,4) and points are written in the form (x,y).

What is the slope of the line 5x y 4?

The slope is: m=−5. The y -intercept is: b=4 or (0,4)

## Is 5x y 4 a linear equation?

Linear graphs are straight. Your equation, 5x=y−4 or y=5x+4 will be a straight line with a gradient (slope) of 5 and a y-intercept of 4 (where the line cuts through the y axis).

Is 5x 6y 3x 2 a linear equation?

Yes, it is a linear equation in two variables x & y .

What is the slope of the line y =- 4?

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0.

### What is the Y intercept of y =- 8?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 8 .

What is the slope of the line y =- 2?

Since the line is y=2 , that means it is a horizontal line. Slope is defined as riserun . Since it is horizontal, there is no rise, only a run, which is a constant, 2 . Therefore, it is 02 , or 0 .

What is the slope of 3x 4y 12?

Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/4 = 3. Slope is -3/4 = -0.75.

## What is Y-intercept of a straight line 3x 4y 12?

from figure the y-intercept is 3 because the y-intercept means the value of y at x=0.

What is the slope of 3x 4y 8?

y=mx+b, m is the slope and b is the y-intercept, the value of y when x=0. The slope is -3/4. The slope of the line perpendicular to such is positive 4/3. So the slope of the given line is -(3/4).

What is the slope of 3x 4y?

Cancel the common factor of 4 4 . Divide y y by 1 1 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 34 .

### What is the Y-intercept of 3x 4y 8?

Rewrite in slope-intercept form. Using the slope-intercept form, the y-intercept is −2 .

What is the Y-intercept of the line 2x 3y 6?

The y-intercept is y=2 .

What is the Y intercept of the line whose equation is y 1 2x 3?

The y-intercept of the equation y = 1/2x – 3 is (0,-3). This is because in the equation y=mx+b, the b represents the y-intercept.

## What is the slope of 2x 3?

Using the slope-intercept form, the slope is 2 .

What is the slope in 2x 3y 6?

Rearrange – 2x + 3y – 6 = 0 into this form. Slope of the given equation is 23 and intercept on y axis is 2.

What’s the slope of 2x 3y 12?

1 Answer. The slope is −23 .

### How do you find the equation of a line that goes through a point?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

What is the equation of the line that passes through the points (- 2 2 and 0 5?

1 Expert Answer y=3/2x+5 because it has 3/2 in the slope position of the equation.

What is the equation of a line that contains the points 5 0 and 5 − 2 )?

Answer: The equation x=5 contains the points (5,0) and (5,-2). Step-by-step explanation: Remember, the x coordinate goes before the y coordinate (x,y).

## What is the equation of straight line?

The general equation of a straight line is y = m x + c , where is the gradient and the coordinates of the y-intercept.

What is the equation of a line through the points 0 9 and 3 0 Brainly?

y = -3x +9 The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

What is the equation of a line through the points 0 9?

The equation of the line through the points (0,9) and (3,0) is y = -3x + 9.

### What is the equation of a line through the points 0 9 and 3 0 )? Because M StartFraction 9 minus 0 over 0 minus 3 EndFraction y 3x 9 because M StartFraction 9 minus 0 over 0 minus?

The answer is A) Because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9.

What is the slope m and y-intercept for the line that is Lineted on the grid below M 0 2 M 2 0 2 m 2 0 4 4?

Answer: The slope of the line is 2 and the y-intercept is (0,4).

When can a slope of a line be equal to zero?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0). because division by zero is an undefined operation.

## What is rise over run formula?

Rise over run formula, calculating by hand All you need to do is calculate the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run).

What is the slope of the line?

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.

### How do you solve for slope of a line?

Using the Slope Equation

1. Pick two points on the line and determine their coordinates.
2. Determine the difference in y-coordinates of these two points (rise).
3. Determine the difference in x-coordinates for these two points (run).
4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

How do you find the slope of a line with an equation?

Once your equation is in slope-intercept form: “y = mx+b”, the coefficient of “x” (the “m”) is the slope. The constant (the “b”) is the y-intercept at (0, b).

How do you find the slope and y-intercept of an equation?

The slope-intercept form of a line is: y=mx+b where m is the slope and b is the y-intercept. The y-intercept is always where the line intersects the y-axis, and will always appear as (0,b) in coordinate form.

## What is the slope in math?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as “rise over run” (change in y divided by change in x).

What is another name for slope in math?

Slope is the ‘steepness’ of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value. of algebra is the idea of slope.

What is the slope of the points?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

### What is the physical meaning of the slope?

inclination

What is the physical meaning of slope and y intercept?

What is the meaning of the slope? Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

How do you describe slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is calculated by finding the ratio of the “vertical change” to the “horizontal change” between (any) two distinct points on a line.

## How do you explain slope?

The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m.

Do you simplify slope?

Yes. The simplified version is best. A slope of 5/10 and 1/2 will contain the exact same coordinates on the line but one is easier to read and graph. If you have graphed a function, the slope at any point on the graph tells you the rate of change of the function at that particular point.

How do you interpret the slope of a regression equation?

Interpreting the slope of a regression line The slope is interpreted in algebra as rise over run. If, for example, the slope is 2, you can write this as 2/1 and say that as you move along the line, as the value of the X variable increases by 1, the value of the Y variable increases by 2.

### What does the slope of a regression line mean?

the rate of change

How do you interpret the slope of a best fit line?

The line’s slope equals the difference between points’ y-coordinates divided by the difference between their x-coordinates. Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph. Subtract the first point’s y-coordinate from the second point’s y-coordinate.

What is the best interpretation of the slope of the line?

Answer: The slope of the line is the line of best fit, and it shows that even though all the points are different, they are all in the same area and they are increasing.