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

y - 5 = -1(x - 3)

Step-by-step 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)

x + 4/7

step-by-step explanation:

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