Question

A line has a slope of $\frac{-1}{3}$. The line passes through the points (2,-3) and (A,-4). Find A.

• A. 3
• B. 4
• C. 5
• D. 6

Answer 1

The correct option is C 5

We are given 2 points and the slope.

x	y
2	-3
A	-4

Slope $=\frac{Changeiny}{Changeinx}=\frac{-1}{3}$

$\frac{-1}{3}=\frac{-4-(-3)}{A-2}$

$\frac{-1}{3}=\frac{-1}{A-2}$

$\frac{1}{3}=\frac{1}{A-2}$

$A-2=3$

$A-2+2=3+2$

$A=5$