Question

graph this line:
y - 1 = -4(x - 7)
click to select points on the graph.

Explanation:

Step1: Identify point from point-slope form

The equation $y - 1 = -4(x - 7)$ is in point-slope form $y-y_1=m(x-x_1)$, so one point is $(7, 1)$.

Step2: Convert to slope-intercept form

Expand and simplify:
$y - 1 = -4x + 28$
$y = -4x + 29$

Step3: Find second point

Set $x=0$, solve for $y$:
$y = -4(0) + 29 = 29$ (this is outside the grid, so pick $x=6$):
$y = -4(6) + 29 = -24 + 29 = 5$, so second point is $(6, 5)$.

Step4: Find third point (optional, for verification)

Set $x=8$, solve for $y$:
$y = -4(8) + 29 = -32 + 29 = -3$, so third point is $(8, -3)$.

Answer:

Plot the points $(7, 1)$, $(6, 5)$, and $(8, -3)$ on the grid, then draw a straight line passing through them.