Question

1. given the equation $y = -3x + 7$, which of the following points is on the line?

a. $(1,2)$
b. $(-2,-1)$
c. $(0,7)$
d. $(2,-1)$

Explanation:

Step1: Test point a. (1,2)

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

Step2: Test point b. (-2,-1)

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

Step3: Test point c. (0,7)

Substitute $x=0, y=7$ into $y=-3x+7$:
$7 = -3(0) + 7 = 7$ → $7=7$, on line.

Step4: Verify point d. (2,-1)

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

Answer:

c. (0,7)