Question

graph this line:
\\( y + 1 = -\frac{3}{4}(x + 6) \\)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y + 1 = -\frac{3}{4}(x + 6)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(-6, -1)$.

Step2: Find second point using slope

Slope $m=-\frac{3}{4}$ means $\frac{\Delta y}{\Delta x}=-\frac{3}{4}$. From $(-6, -1)$, add 4 to $x$ and subtract 3 from $y$:
$x=-6+4=-2$, $y=-1-3=-4$. So second point is $(-2, -4)$.

Step3: Find third point (optional, for verification)

From $(-2, -4)$, add 4 to $x$ and subtract 3 from $y$:
$x=-2+4=2$, $y=-4-3=-7$. Third point is $(2, -7)$.

Answer:

Plot the points $(-6, -1)$, $(-2, -4)$, and $(2, -7)$, then draw a straight line through them to graph the line.