Question

Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?

line AB
line CD
line FG
line HJ

Answer 1

Line HJ is parallel to a line that has a slope of 3 and a y-int at (0,0). If you wrote this in slope intercept form, it is y=3x+0. The only line that has such a slope is the  red one.

Answer 2

line HJ

Explanation:

we know that

The equation of the line that has a slope of
`3` and a y-intercept at
`(0, 0)` is equal to

`y=3x` -----> is a proportional relationship

Remember that

If two lines are parallel , then their slopes are the same

Find the slope of the line HJ

`H(-1,-4), J(1,2)`

The formula to calculate the slope between two points is equal to

`m=(2+4)/(1+1)`

`m=(6)/(2)`

`m=3`

therefore

The line HJ is parallel to the line
`y=3x`