Question

Find the point that lies on the following linear equation: y = -2x + 1.

A) (3, 5)
B) (3, -5)
C) (3, 6)
D) (3, -6)

Answer 1

To find the correct point on the linear equation y = -2x + 1, we substitute the x-values into the equation. The only point that matches is (3, -5), making option B the correct answer.

Step-by-step explanation:

To find the point that lies on the linear equation y = -2x + 1, we can substitute the x-value from each choice into the equation and see if the corresponding y-value matches.

1. For option A (3, 5), if x = 3, y would be y = -2(3) + 1 = -6 + 1 = -5, which does not match the y-value in option A.
2. For option B (3, -5), if x = 3, y would be y = -2(3) + 1 = -6 + 1 = -5, which matches the y-value in option B. So, option B is the correct answer.
3. For option C (3, 6), if x = 3, y would be y = -2(3) + 1 = -6 + 1 = -5, which does not match the y-value in option C.
4. For option D (3, -6), if x = 3, y would be y = -2(3) + 1 = -6 + 1 = -5, which does not match the y-value in option D.

So, the point that lies on the linear equation y = -2x + 1 is option B (3, -5).