Question

find the intercepts of $-3x + 3y = -9$. give your answers as an ordered pair. x-intercept = y-intercept = using the intercepts from above draw the graph of $-3x + 3y = -9$

Explanation:

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

Substitute $y=0$ into $-3x + 3y = -9$:
$$-3x + 3(0) = -9$$
$$-3x = -9$$
$$x = 3$$
So the x-intercept ordered pair is $(3, 0)$.

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

Substitute $x=0$ into $-3x + 3y = -9$:
$$-3(0) + 3y = -9$$
$$3y = -9$$
$$y = -3$$
So the y-intercept ordered pair is $(0, -3)$.

Step3: Graph the line

Plot the points $(3, 0)$ and $(0, -3)$ on the coordinate grid, then draw a straight line connecting them.

Answer:

x-intercept = $(3, 0)$
y-intercept = $(0, -3)$
(Graph: Connect the points $(3, 0)$ and $(0, -3)$ with a straight line on the provided grid)