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Question 239368: write the equation of a line in slope intercept form
through points (-7,2) and (-6, -2)
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! Your first step is to find the slope.
Let m = slope
m = difference of y coordinates divided by the difference of x coordinates
m = (-2 - 2)/(-6 -(-7))
m = -4/(-6 + 7)
m = -4/1
m = -4
The slope is -4.
To write in slope-intercept form, y = mx + b, we need to use the point-slope formula.
y - y1 = m(x - x1) is the point-slope formula.
We use one of the given points and the slope to find our equation.
I will use (-7, 2) but you can use the other point if you want to.
We plug the slope and one point into the point-slope formula and solve for y.
y - 2 = -4(x -(-7))
y - 2 = -4(x + 7)
y - 2 = -4x - 28
y = -4x - 28 + 2
y = -4x - 26
Did you follow?
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