Question

graph this line:
$y + 1 = -\frac{1}{2}(x + 7)$
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y + 1 = -\frac{1}{2}(x + 7)$ is in point-slope form $y - y_1 = m(x - x_1)$, so a point on the line is $(-7, -1)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into the equation:
$y + 1 = -\frac{1}{2}(0 + 7)$
$y + 1 = -\frac{7}{2}$
$y = -\frac{7}{2} - 1 = -\frac{9}{2} = -4.5$
So the y-intercept is $(0, -4.5)$.

Step3: Find x-intercept (y=0)

Substitute $y=0$ into the equation:
$0 + 1 = -\frac{1}{2}(x + 7)$
$1 = -\frac{1}{2}(x + 7)$
Multiply both sides by $-2$: $-2 = x + 7$
$x = -2 - 7 = -9$
So the x-intercept is $(-9, 0)$.

Answer:

Plot the points $(-7, -1)$, $(0, -4.5)$, and $(-9, 0)$, then draw a straight line through them to graph the line.