Question

1. 7x + 6y = -42

Explanation:

Step1: Find x-intercept (y=0)

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

Step2: Find y-intercept (x=0)

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

Step3: Plot and connect points

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

Answer:

The line passes through the x-intercept $(-6, 0)$ and y-intercept $(0, -7)$, with the graphed line connecting these two points.