Question

Write an equation that goes through the points (18, 3) and (21, 1)

Answer 1

Answer:

$2x+3y-45=0$

Step-by-step explanation:

The slope of the line that goes through (18, 3) and (21, 1) is

$\frac{1-3}{{21-18}}=\frac{-2}{3}$

The slope of the line that goes through (18, 3) and (x, y) is

$\frac{y-3}{{x-18}}$

So

$\frac{y-3}{{x-18}} = \frac{-2}{3}\\-2(x-18)=3(y-3)\\-2x+36=3y-9\\2x+3y-45=0$