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How do you convert two coordinates into standard form?

How do you convert two coordinates into standard form?

If you want the slope intercept form, then y = -¼•x + 1. If you want standard form Ax + By =C then I suggest that you multiply the above equation by four and collect both the x and y terms on the left side of the equation, leaving a constant alone on the right side. That is standard form.

How do you write an equation of a line in standard form if you have the slope and one 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.

How do you solve slope intercept form word problems?

When a word problem involves a constant rate or speed and a beginning amount, it can be written in slope-intercept form: y=mx+b. To do this, recognize which number will represent m, the rate, and which number will represent b, the y-intercept.

Is C the Y intercept in a quadratic equation?

The y-intercept of the equation is c. When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.

How many y-intercepts can a parabola have?


Can a quadratic function have 2 y intercepts?

There can be one or two x intercepts for a single quadratic equations. The y-intercept indicates where the parabola crosses the y axis. There is only one y intercept for each quadratic equation.

How do you tell if a parabola is maximum or minimum?

If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

What is a maximum or minimum turning point?

A maximum turning point is a turning point where the curve is concave upwards, f′′(x)<0 f ′ ′ ( x ) < 0 and f′(x)=0 f ′ ( x ) = 0 at the point. A minimum turning point is a turning point where the curve is concave downwards, f′′(x)>0 f ′ ′ ( x ) > 0 and f′(x)=0 f ′ ( x ) = 0 at the point.

What is the minimum value of f x?

FN Therefore, the function does not have a largest value. However, since x2+1≥1 for all real numbers x and x2+1=1 when x=0, the function has a smallest value, 1, when x=0. We say that 1 is the absolute minimum of f(x)=x2+1 and it occurs at x=0. We say that f(x)=x2+1 does not have an absolute maximum (Figure 4.1.

What is a minimum value plan?

A standard of minimum coverage that applies to job-based health plans. A health plan meets the minimum value standard if both of these apply: It’s designed to pay at least 60% of the total cost of medical services for a standard population.

How do you find minima?

When a function’s slope is zero at x, and the second derivative at x is:

  1. less than 0, it is a local maximum.
  2. greater than 0, it is a local minimum.
  3. equal to 0, then the test fails (there may be other ways of finding out though)

How do you find the maxima and minima of two variables?

For a function of one variable, f(x), we find the local maxima/minima by differenti- ation. Maxima/minima occur when f (x) = 0. x = a is a maximum if f (a) = 0 and f (a) < 0; • x = a is a minimum if f (a) = 0 and f (a) > 0; A point where f (a) = 0 and f (a) = 0 is called a point of inflection.

How do you solve minima and maxima problems?

Finding Maxima & Minima

  1. Find the derivative of the function.
  2. Set the derivative equal to 0 and solve for x. This gives you the x-values of the maximum and minimum points.
  3. Plug those x-values back into the function to find the corresponding y-values. This will give you your maximum and minimum points of the function.