Question

3x - y = 9
click to select points on the graph.

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $3x - y = 9$:
$$3x - 0 = 9 \implies x = 3$$
So the x-intercept is $(3, 0)$.

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $3x - y = 9$:
$$3(0) - y = 9 \implies y = -9$$
So the y-intercept is $(0, -9)$.

Step3: Find a third test point

Choose $x=2$:
$$3(2) - y = 9 \implies 6 - y = 9 \implies y = -3$$
So a third point is $(2, -3)$.

Answer:

Plot the points $(3, 0)$, $(0, -9)$, and $(2, -3)$, then draw a straight line through them to graph $3x - y = 9$.