the equation for line s can be written as y = -\\frac{2}{5}x + 4. line t, which is parallel to line s…

Explanation:

Step1: Determine the slope of line t

Parallel lines have equal slopes. The slope of line s is $-\frac{2}{5}$, so the slope of line t, $m = -\frac{2}{5}$.

Step2: Use the point - slope form to find the equation

The point - slope form is $y - y_1=m(x - x_1)$. Substitute $m = -\frac{2}{5}$, $x_1=-3$, and $y_1 = 2$ into it. $y - 2=-\frac{2}{5}(x+3)$

Step3: Convert to slope - intercept form

Expand the right side: $y - 2=-\frac{2}{5}x-\frac{6}{5}$. Add 2 to both sides: $y=-\frac{2}{5}x-\frac{6}{5}+2$. Since $2=\frac{10}{5}$, then $y=-\frac{2}{5}x-\frac{6}{5}+\frac{10}{5}$. $y = -\frac{2}{5}x+\frac{4}{5}$

Answer:

$y = -\frac{2}{5}x+\frac{4}{5}$