What is the equation of the line that passes through (0, 2) and (1, −3)

y=-5x+2

Step-by-step explanation:

Using the equation y2-y1/x2-x1, you can get the slope of the line, which is -5. The point (0,2) tells us that the y-intercept is 2. So the equation is y=-5x+2.

At the bottom

Step-by-step explanation:

Use formula of slope, which is change in y over change in x to find the slope

In the form y=mx+b, where m is the slope and b in the y intercept.

Change in y over change in x is basically (-3-2)/1-0

therefore

-6 is your m. Now plug in any point to find your b, which is your y intercept, referring to the form of the equation of a line above.

Well, you would have to do that if you were given different points, but in this case, one of your given points, (0,2) IS the y intercept. So plugging in your b and m, you get

y = -6x + 2

As your answer

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

step-by-step explanation:

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