Question

use technology to find points and graph the line $-x = -3y + 12$, following the instructions below.
show plotting points
plot at least two points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $-x=-3y+12$:
$$-x = -3(0) + 12$$
$$-x = 12$$
$$x = -12$$
So the x-intercept is $(-12, 0)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $-x=-3y+12$:
$$-(0) = -3y + 12$$
$$0 = -3y + 12$$
$$3y = 12$$
$$y = 4$$
So the y-intercept is $(0, 4)$.

Step3: Optional third point (verify)

Choose $y=5$, substitute into the equation:
$$-x = -3(5) + 12$$
$$-x = -15 + 12$$
$$-x = -3$$
$$x = 3$$
So a third point is $(3, 5)$.

Answer:

Plot the points $(-12, 0)$ and $(0, 4)$ (and optionally $(3, 5)$) on the coordinate plane, then draw a straight line through them.