Question

graph this line:
$y - 3 = -\frac{1}{2}(x - 6)$
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 3 = -\frac{1}{2}(x - 6)$ is in point-slope form $y - y_1 = m(x - x_1)$, so one point on the line is $(6, 3)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into the equation:
$y - 3 = -\frac{1}{2}(0 - 6)$
$y - 3 = 3$
$y = 6$
So the y-intercept is $(0, 6)$.

Step3: Find a third point (x=2)

Substitute $x=2$ into the equation:
$y - 3 = -\frac{1}{2}(2 - 6)$
$y - 3 = 2$
$y = 5$
So a third point is $(2, 5)$.

Answer:

Plot the points $(6, 3)$, $(0, 6)$, and $(2, 5)$, then draw a straight line through them to graph the line.