Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?
AB
CD
FG
HJ
![Which line is parallel to a line that has a slope of 3 and a yintercept at 0 0 AB CD FG HJ class=](https://us-static.z-dn.net/files/de8/a2ae87f2d6bf78d92f6ab7483a76006d.png)
Answer:
HJ
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the line that is parallel to a line that has a slope of 3 is equal to 3
Verify the slope of the blue and red line , because their slopes are positive
Blue line
we have
C(-3,0),D(3,2)
The slope m is equal to
m=(2-0)/(3+3)
m=2/6
m=1/3
Red line
we have
H(-1,-4),J(1,2)
The slope m is equal to
m=(2+4)/(1+1)
m=6/2
m=3
therefore
The answer is the red line HJ