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