Question

given the equation $y = -3x + 7$, which of the following points is on the line?
a. $(1,2)$
b. $(0,7)$
c. $(2,-1)$
d. $(-2,-1)$

Explanation:

Step1: Check point a (1,2)

Substitute $x=1$ into $y=-3x+7$: $y=-3(1)+7=4≠2$. Not on line.

Step2: Check point b (0,7)

Substitute $x=0$ into $y=-3x+7$: $y=-3(0)+7=7$. Matches y=7. On line.

Step3: Check point c (2,-1)

Substitute $x=2$ into $y=-3x+7$: $y=-3(2)+7=1≠-1$. Not on line.

Step4: Check point d (-2,-1)

Substitute $x=-2$ into $y=-3x+7$: $y=-3(-2)+7=13≠-1$. Not on line.

Answer:

b. (0,7)