Question

graph this line using intercepts:
6x - 7y = -42
click to select points on the graph.

Explanation:

Step1: Find x-intercept (set y=0)

Substitute $y=0$ into $6x - 7y = -42$:
$$6x - 7(0) = -42$$
$$6x = -42$$
$$x = -7$$
So the x-intercept is $(-7, 0)$.

Step2: Find y-intercept (set x=0)

Substitute $x=0$ into $6x - 7y = -42$:
$$6(0) - 7y = -42$$
$$-7y = -42$$
$$y = 6$$
So the y-intercept is $(0, 6)$.

Step3: Plot and connect points

Mark the points $(-7, 0)$ and $(0, 6)$ on the grid, then draw a straight line through them.

Answer:

The line passes through the x-intercept $(-7, 0)$ and y-intercept $(0, 6)$; connecting these points gives the graph of $6x - 7y = -42$.