What equation represents the line that is parallel to y=−2x+4 and passes through the point (3, −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 + 4 is in this form with slope m = - 2

• Parallel lines have equal slopes, hence

y = - 2x + c ← is the partial equation

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

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - 2x + 5 ← equation of parallel line