Question 1119820
Write the slope-intercept form of the equation of the line through the given points.
 (5, -5) and (-3, 4)

Am I supposed to find the slope first? m=y2-y1/x2-x1?

If so, what do you do after that.

I found 2 different slopes: 9       -9
                                       - —  &  —
                                          2        8
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There's only 1 slope per line.
(x1,y1) and (x2,y2) have to match.
m = (-5-4)/(5 - (-3)) = -9/8
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Then:
y - y1 = m*(x-x1) where (x1,y1) is either point.
y+5 = (-9/8)*(x-5) = -9x/8 = 45/8
Slope-intercept form means solve for y
{{{y = -9x/8 + 5/8}}}
Or {{{y = (-9/8)x + 5/8}}}