Question

A. Y = 3x + 4
B. Y = 1/4x - 4
C. Y = 1/3x + 4

Answer 1

For this case, the first thing to do is find the slope of the line shown.
We have then:

`m = (y2-y1)/(x2-x1)`
Substituting values we have:

`m = (7-6)/(3-0)`
Rewriting:

`m = (1)/(3)`
As the lines are parallel, then the slopes are the same.
The generic equation of the line that is looked for is:

`y-yo = m (x-xo)`
Where,
m: slope of the line
(xo, yo): point through which the line passes
Substituting values we have:

`y- (19)/(3) = (1)/(3)(x-7)`
Rewriting:

`y=(1)/(3)x - (7)/(3) + (19)/(3)`

`y=(1)/(3)x + (12)/(3)`

`y=(1)/(3)x +4`
Answer:

`y=(1)/(3)x +4`
option C