Question

Write in slope-intercept form of the equation of the line through the given point. Through: (-3,-3) and (4,0)

Answer 1

y = 3/7 x - 12/7

Explanation:

The slope is (0+3)/(4+3) = 3/7

So, now you have a point and a slope, so use the point-slope form. That gives you

y-0 = 3/7 (x-4)

Now just rearrange to slope-intercept form.

y = 3/7 x - 12/7

Answer 2

You have to use the y2-y1 over x2-x1.
So, let's plug the numbers in.
(-3,-3)
^ ^
X1 Y1
(4,0)
^ ^
X2 Y2
So, that would be
0-(-3)
——
4-(-3)
The two subtraction signs counteract and become a positive, or addition symbol. So it would be
0+3
——
4+ 3
Do the addition to get 3 over 7 or
3
—
7