Question 548483: Good afternoon,
Hello i have homework on slope intercept equations and i needed help. Here's the problem it says line through the points (0, -8) and (2, -2) i have to put that in slope intercept form.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! There is an infinite number of ways to express the equation for a line. There are different forms, most of which come in infinite varieties. Slope-intercept form is my favorite, because there is only one equation in slope intercept form for each line. It's the equation of the line that starts with "y= ...".
INTERCEPT
The y-intercept is the point where the line crosses the y-axis. (unless the line is a vertical line, with an equation of x=some number, the line will cross the y axis somewhere. The point where it crosses will have x=0, of course. The y value, called just intercept, is what you are after.
In your case, the point (0,-8) is the y-intercept, so the intercept value that you are looking for is -8.
SLOPE-INTERCEPT FORM
The slope-intercept form is often represented as  , with  being the slope and  being the intercept.
SLOPE
The slope of the line is the change in y as x increases by 1. You can always calculate it by dividing. It's the difference in y values between two points, divided by the corresponding difference in x values. It is traditionally represented by the letter "m".
In your case, you could calculate
Another option, would be to write the equation including the intercept found, but with the "m" still in it, as
and then substitute the coordinates of point (2, -2) and solve for m:
 --->  --->  ---> 
No matter how you calculate the slope, your equation in slope-intercept form is
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