Could someone help me with finding an equation of the line containing the given pair of points (3,2) and (9,7)

2 answers

(y-2)/(x-3) = (7-2)/(9-3)

y-2 = 5/6 (x-3)
First, find the slope using the formula y2-y1/x2-x1.

7 - 2/9 - 3

5 / 6---> slope

Use point-slope form: y - y1 = m (x - x1)

Use any one point:

y - 2 = 5/6 (x - 3)

Distributive property:

y - 2 = 5/6x - 15/6

Add 2 to each side:

y = 5/6x - 15/6 + 2/1

y = 5/6x - 1/2