SOLUTION: find the slope intercept form for the line satisfying the following conditions. Passing through (4,-3) and (3,-2)

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Question 980177: find the slope intercept form for the line satisfying the following conditions. Passing through (4,-3) and (3,-2)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"...Passing through" (h,k) and (u,v).

Slope-Intercept form: y=mx%2Bb
b=y-mx

Slope, m=%28v-k%29%2F%28u-h%29.

Substitute expressions.
y=%28%28v-k%29%2F%28u-h%29%29x%2B%28y-mx%29
-
Pick either "given" point and substitute into slope-intercept form.
y=%28%28v-k%29%2F%28u-h%29%29x%2B%28-3-%28%28v-k%29%2F%28u-h%29%29%2A4%29
-
You can try to simplify this symbolic form if you want.
y=%28%28v-k%29%2F%28u-h%29%29x%2B%284%28v-k%29%2F%28u-h%29-3%28u-h%29%2F%28u-h%29%29
highlight%28y=%28%28v-k%29%2F%28u-h%29%29x%2B%284v-4k-3u%2B3h%29%2F%28u-h%29%29

Your example uses system%28h=4%2Ck=-3%2Cu=3%2Cv=-2%29.
You could substitute the values early and compute & simplify your way to the answer.