Question

Find the equation of the line through the point $(7,2)$ and having the same slope as the line through $(2,4)$ and $(3,-1)$

• A. $y=\left(\frac{1}{3}\right)x-\left(\frac{1}{3}\right)$
• B. $y=\left(\frac{2}{5}\right)x-\left(\frac{1}{3}\right)$
• C. $y=\left(\frac{2}{3}\right)x-\left(\frac{4}{3}\right)$
• D. none

Answer 1

The correct option is D none

Equation of line passing through (7,2) and having slope same as line passing through(2,4) and (3,-1). is

$y-2=\frac{-1-4}{3-2}(x-7)$

$⟹y-2=-5(x-7)⟹y=-5x+37$