Question

Find the equation of a line that contains the points (-3,-1) and (-4, -7). Write the equation in slope-intercept form.

Answer 1

y = 6x + 17

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