Question

graph this line:
$y - 3 = \frac{1}{5}(x + 8)$
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 3 = \frac{1}{5}(x + 8)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(-8, 3)$.

Step2: Find second point using slope

Slope $m=\frac{1}{5}$, so from $(-8,3)$, move 5 right, 1 up: $x=-8+5=-3$, $y=3+1=4$. The second point is $(-3, 4)$.

Step3: Find y-intercept (optional check)

Rewrite to slope-intercept form:
$y = \frac{1}{5}x + \frac{8}{5} + 3$
$y = \frac{1}{5}x + \frac{8}{5} + \frac{15}{5}$
$y = \frac{1}{5}x + \frac{23}{5}$
$y = \frac{1}{5}x + 4.6$, so y-intercept is $(0, 4.6)$.

Answer:

Plot the points $(-8, 3)$ and $(-3, 4)$ (or $(0, 4.6)$) on the grid, then draw a straight line through them to graph the line.