Question

Write the equation of the line that is parallel to the line whose equation is y = –4 and that passes through the point (1, 5).

A. y=-5
B. y=-4
C. y=1
D. y=5

Answer 1

The equation of the line, y = -4, has a slope of 0. For lines to be parallel their slopes should be equal. Given the slope and a point, the equation of the line is generally expressed as,
y - y1 = m(x - x1)
Substituting gives the answer of,
y - 5 = 0 ; y = 5
The answer is letter D.