Question

graph this line:
\\( y - 1 = \frac{3}{5}(x + 5) \\)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 1 = \frac{3}{5}(x + 5)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(x_1,y_1)=(-5,1)$.

Step2: Use slope to find second point

Slope $m=\frac{3}{5}$, meaning move 5 right, 3 up from $(-5,1)$:
$x=-5+5=0$, $y=1+3=4$. So second point is $(0,4)$.

Step3: Verify with slope check

Calculate slope between $(-5,1)$ and $(0,4)$:
$\frac{4-1}{0-(-5)}=\frac{3}{5}$, which matches the given slope.

Answer:

Plot the points $(-5, 1)$ and $(0, 4)$, then draw a straight line passing through them.