Question

Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).

Answer 1

Answer:

$y=-\frac{1}{5}x+\frac{7}{5}$

Step-by-step explanation:

The given line passes through points (−3, 2) and (2, 1).

We use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ to find the slope of this line.

$\implies \frac{1-2}{2--3}=\frac{-1}{5}$

We use the point slope formula:

$y-y_1=m(x-x_1)$

$y-2=-\frac{1}{5}(x--3)$

$y-2=-\frac{1}{5}(x+3)$

We expand to get:

$y-2=-\frac{1}{5}x-\frac{3}{5}$

$y=-\frac{1}{5}x-\frac{3}{5}+2$

The slope intercept form of the line is:

$y=-\frac{1}{5}x+\frac{7}{5}$