Answer:
[tex]y=-\frac{1}{5}x+\frac{7}{5}[/tex]
Step-by-step explanation:
The given line passes through points (−3, 2) and (2, 1).
We use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of this line.
[tex]\implies \frac{1-2}{2--3}=\frac{-1}{5}[/tex]
We use the point slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-2=-\frac{1}{5}(x--3)[/tex]
[tex]y-2=-\frac{1}{5}(x+3)[/tex]
We expand to get:
[tex]y-2=-\frac{1}{5}x-\frac{3}{5}[/tex]
[tex]y=-\frac{1}{5}x-\frac{3}{5}+2[/tex]
The slope intercept form of the line is:
[tex]y=-\frac{1}{5}x+\frac{7}{5}[/tex]
