Question

On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).

What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8

Answer 1

B

Explanation:

Answer 2

Answer: x + 2y = 8

Explanation:

We know that the slope of the line is (-4-0)/(4-(-4))=-1/2.

The slope of the parallel lines is thus also -1/2.

We can conclude that the equation of the line is y=(-1/2)x+4.

2y = -x + 8

x + 2y = 8