Question

graph this line:
\\( y + 4 = -\frac{1}{2}(x + 8) \\)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y + 4 = -\frac{1}{2}(x + 8)$ is in point-slope form $y-y_1=m(x-x_1)$, so we get the point $(x_1,y_1)=(-8, -4)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into the equation:
$y + 4 = -\frac{1}{2}(0 + 8)$
$y + 4 = -4$
$y = -8$
This gives the point $(0, -8)$.

Step3: Verify a third point (x=2)

Substitute $x=2$ into the equation:
$y + 4 = -\frac{1}{2}(2 + 8)$
$y + 4 = -5$
$y = -9$
This gives the point $(2, -9)$.

Answer:

Plot the points $(-8, -4)$, $(0, -8)$, and $(2, -9)$, then draw a straight line through them to graph the line.