Question

17. Write an equation in slope-intercept form for the line that passes through (0,6) and

is parallel to the line described by y = 2x +3.

Answer 1

y = 2x + 6

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

The line passes through (0, 6 ) ⇒ c = 6

y = 2x + 6 ← equation of parallel line