Question

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

Explanation:

Step1: Identify point from point-slope form

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

Step2: Find y-intercept (x=0)

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

Step3: Find a third point (x=4)

Substitute $x=4$ into the equation:
$y + 1 = -\frac{1}{2}(4 - 2)$
$y + 1 = -\frac{1}{2}(2)$
$y + 1 = -1$
$y = -2$
So a third point is $(4, -2)$.

Answer:

Plot the points $(2, -1)$, $(0, 0)$, and $(4, -2)$, then draw a straight line through them.