Question

Write the equation of the line that passes through the points

(−3,−7) and (−1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

y - 3 = 5(x + 1) (fully reduced point-slope form)

Explanation:

Moving from the first point to the second, we see x increasing by 2 and y by 10. Thus, the slope of the line through these two points is m = rise / run = 10/2, or m = 5. Applying the point-slope formula y - k = m(x - h), we get:

y - 3 = 5(x + 1) (fully reduced point-slope form)

or y = 3 + 5x + 5, or y = 5x + 8 (slope-intercept form)