Question

Which equation in slope-intercept form represents a line that passes through the point (5, -1) and is

parallel to the lin y = 2x - 7?

A) y=-11x-7

B) y= -1/2x-7

C) y= 2x-9

D) y= -9x-7

E) y= 2x-11

Answer 1

E) y= 2x-11

Explanation:

as we know the equation of line parallel to

y =2x-7 or, 2x-y-7=0 is 2x-y+k=0

as the line passes through the point (5,-1)

substituting the value of x and y in equation 2x-y+k=0

we get,

2×5-(-1)+k=0

or, 10+1+k=0

or, k=-11

hence putting the value of k in ep 2x-y+k=0

we get 2x-y-11=0

or, y=2x-11