Question

y - 7 = -\frac{9}{5}(x + 10)
click to select points on the graph.
graph with x-axis from -10 to 10 and y-axis from -10 to 10, grid lines, and axes labeled

Explanation:

Step1: Identify point from point-slope form

The equation is in point-slope form $y - y_1 = m(x - x_1)$, so one point is $(-10, 7)$.

Step2: Find second point using slope

Slope $m = -\frac{9}{5}$: move 5 right, 9 down from $(-10,7)$.
New $x$: $-10 + 5 = -5$, New $y$: $7 - 9 = -2$. So second point is $(-5, -2)$.

Step3: Verify with y-intercept (optional)

Rewrite to slope-intercept:
$y = -\frac{9}{5}x - 18 + 7$
$y = -\frac{9}{5}x - 11$
Y-intercept is $(0, -11)$, a third valid point.

Answer:

Plot the points $(-10, 7)$, $(-5, -2)$, and $(0, -11)$, then draw a straight line through them.