Question

graph this line:
$y - 7 = 2(x - 2)$
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 7 = 2(x - 2)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point on the line is $(2, 7)$.

Step2: Convert to slope-intercept form

Expand and simplify to find the y-intercept:
$y - 7 = 2x - 4$
$y = 2x + 3$
The y-intercept is $(0, 3)$.

Step3: Verify a third point (optional)

Substitute $x=1$ into $y=2x+3$:
$y=2(1)+3=5$, so the point $(1, 5)$ is on the line.

Answer:

Plot the points $(2, 7)$, $(0, 3)$, and/or $(1, 5)$, then draw a straight line passing through them. The line has a slope of 2 and y-intercept at $(0, 3)$.