Question

Which line is parallel to the line ‘y = 1/2x + 5’ and passes through the

point (-2, 1)?

A. ‘y=x+3
B. ‘y=1/2x+2
C. ‘y=1/2x - 4
D. ‘y=“-”1/2x

Answer 1

B. y=1/2+2

Explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2