Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through (minus1 ,3 ) and is parallel to the line whose equation is y equals 2 x plus 1.

y = 2x + 5

Step-by-step 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 + 1 ← is in slope - intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + ← is the partial equation of the parallel line

To find c substitute ( - 1, 3) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = 2x + 5 ← equation of parallel line