Question

Which point is located on the line represented by the equation y + 4 = –5(x – 3)?
(1 point)

(–4, –5)

(–5, –4)

(3, –4)

(–3, 4)

Answer 1

To find which point is located on the line represented by the equation, we need to substitute the x and y values of each point into the equation and see which one satisfies it.

1. For point (-4, -5):
y = -5, x = -4
-5 + 4 = -5(-4 - 3)
-1 = 5(7)
-1 ≠ 35

2. For point (-5, -4):
y = -4, x = -5
-4 + 4 = -5(-5 - 3)
0 = 40
0 ≠ 40

3. For point (3, -4):
y = -4, x = 3
-4 + 4 = -5(3 - 3)
0 = 0
0 = 0

4. For point (-3, 4):
y = 4, x = -3
4 + 4 = -5(-3 - 3)
8 = 30
8 ≠ 30

Therefore, the point (3, -4) is located on the line represented by the equation y + 4 = -5(x - 3).