Question

Which of these points lies on the line described by the equation below?

y - 4 = -2(x - 6)
a) (-4, -6)
b) (6, -4)
c) (4, 6)
d) (6, 4)

Answer 1

The point (6, 4) lies on the line described by the equation y - 4 = -2(x - 6).

Step-by-step explanation:

The equation y - 4 = -2(x - 6) represents a straight line. To find which point lies on this line, we can substitute the coordinates of each point into the equation and check if it satisfies the equation. Let's check each option:

a) (-4, -6):
-6 - 4 = -2(-4 - 6)
-10 = 20

b) (6, -4):
-4 - 4 = -2(6 - 6)
-8 = -8

c) (4, 6):
6 - 4 = -2(4 - 6)
2 = 4

d) (6, 4):
4 - 4 = -2(6 - 6)
0 = 0

Only option d) (6, 4) satisfies the equation. Therefore, the point (6, 4) lies on the line described by the equation y - 4 = -2(x - 6).