The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5).
a. y = 5x − 15

b. y = 5x + 15

c. y = 1/5x + 21/5

d. y = 1/5x − 29/5

Question

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5). 
a. y = 5x − 15

b. y = 5x + 15

c. y = 1/5x + 21/5

d. y = 1/5x − 29/5

raden · Answer

parallel means has the same slope. write that equation is

y = 5x + c
now distribute the point (4,5), get
5 = 5(4) + c
5 = 20 + c
c = 5 - 20
c = -15

therefore, this line is y = 5x - 15

does that make sense ?

keana · Answer

now i get it. i wasn't distributing properly. thanks!

raden · Answer

wlcm