Question

graph this line:
y + 2 = 5(x - 6)
click to select points on the graph.

Explanation:

Step1: Identify point-slope form

The equation $y + 2 = 5(x - 6)$ is in point-slope form $y - y_1 = m(x - x_1)$, where $m$ is the slope, and $(x_1, y_1)$ is a point on the line.

Step2: Extract point and slope

From the equation, we get the point $(x_1, y_1) = (6, -2)$ and slope $m = 5 = \frac{5}{1}$.

Step3: Find a second point

Using the slope (rise 5, run 1), start from $(6, -2)$:
$x = 6 + 1 = 7$, $y = -2 + 5 = 3$.
So a second point is $(7, 3)$.

Step4: Plot and connect points

Plot $(6, -2)$ and $(7, 3)$, then draw a straight line through them.

Answer:

The line passes through points $(6, -2)$ and $(7, 3)$; a straight line connecting these points (and extending infinitely in both directions) is the graph of $y + 2 = 5(x - 6)$.