(-1,2); y = 1/2x-3

Question

Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

Answer 1

Parallel lines have equal slopes, so the slope of the parallel line is

m = 1/2

y = (1/2)x + b

Find b from the given point.

2 = (1/2)(-1) + b

b = 5/2

y = (1/2)x + 5/2