Question

What is the equation for a line that passes through the points (-3, -9) and (2, 1)

Answer 1

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\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] when given points (x1, y1) and (x2, y2)
so when given the points (-3, -9) and (2, 1)
plug in x1=-3 , y1=-9 , x2=2 , y2=1

Answer 2

then once you get your slope,
you can plug it in as m
for either:
slope-intercept form: y = mx + b (where m=slope and b=y-intercept)
point-slope form: y - y1 = m(x - x1) (where m=slope and given the point (x1, y1))