Question

Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (0, 8) and (2, 0).

y = 4 x minus 1
y = negative 4 x + three
y = one-fourth x + 5
y = negative one-fourth x minus 1

Answer 1

Slope

• m=0-8/2-0
• m=-8/2
• m=-4

Parallel lines have equal slopes

So

Option B is correct

Answer 2

• B) y = negative 4 x + three

Explanation:

Find the slope of the line that goes through (0, 8) and (2, 0):

• m = (y₂ - y₁)/(x₂ - x₁)
• m = (0 - 8) / (2 - 0) = -8/2 = -4

Parallel lines have equal slopes.

Looking at the choices we see only one of them has the slope of -4:

• y = -4x + 3