Question

Q2 What is the equation of a line that goes through the point (4, 2) and is parallel to the line given by the equation y = 2x + 6? O y = 4x - 6 O y = -2x + 6 O y = 2x - 6 O y = -2x - 6​

Answer 1

C. y = 2x - 6

Explanation:

See which equation is satisfied by the given point.

a. 4x -6 = 4(4) -6 = 10 ≠ 2

b. -2x +6 = -2(4) +6 = -2 ≠ 2

c. 2x -6 = 2(4) -6 = 2 . . . . . the point satisfies this equation

d. -2x -6 = -2(4) -6 = -14 ≠ 2

__

Note that you can eliminate choices B and D because the slope of those lines is -2, not 2. They will not be parallel to the given line.