Answer:
y = 6x + 17
Step-by-step explanation:
First you can find the slope:
m = (y2-y1) / (x2-x1)
m = (-7 - (-1)) / (-4 - (-3))
m = (-7 + 1) / (-4 + 3)
m = -6 / -1
m = 6
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Then we can plug what we know into the point-slope form:
y - y1 = m (x - x1)
(you can pick either one of the points to plug in as (x1, y1))
y - (-7) = 6 (x - (-4))
y + 7 = 6 (x + 4)
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Now we can change the point-slope form into slope-intercept form by solving for y:
y + 7 = 6 (x + 4)
y + 7 = 6x + 24
y = 6x + 17
