Question

The equation of a line is y-4 = 3(x+2), which of the following is a point on the line?

A. (2.4)
B. (4,-2)
C. (-2.4)
D. (-4.2)
Please select the best answer from the choices provided
OA
B

Answer 1

C

Explanation:

to determine which points are on the line, substitute the coordinates of the point into the equation and if both sides are equal then the point is on the line.

A (2, 4 )

left side = y - 4 = 4 - 4 = 0

right side = 3(x + 2) = 3(2 + 2) = 3(4) = 12 ≠ 0

then (2, 4 ) is not on the line

B (4, - 2 )

left side = y - 4 = - 2 - 4 = - 6

right side = 3(x + 2) = 3(4 + 2) = 3(6) = 18 ≠ - 6

Then (4, - 2 ) is not on the line

C (- 2, 4 )

left side = y - 4 = 4 - 4 = 0

right side = 3(x + 2) = 3(- 2 + 2) = 3(0) = 0

Then (- 2, 4 ) is on the line

D (- 4, 2 )

left side = y - 4 = 2 - 4 = - 2

right side = 3(x + 2) = 3(- 4 + 2) = 3(- 2) = - 6 ≠ - 2

Then (- 4, 2 ) is not on the line