Question

Write the point-slope equation of the line that passes through (3, 5) and (7, 1) .

Answer 1

y - 5 = -1(x - 3)

Explanation:

Moving from the point (3, 5) to the point (7, 1), we see that the run (x) increases by 4 and the rise (y) decreases by 4. Hence, the slope of the line connecting these two points is m = rise / run = -4/4 = -1.

Then the point-slope form of the equation of this line is found from

y - k = m(x - h), or specifically:

y - 5 = -1(x - 3)