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

thats gonna be HJ <===

Answer 2

we know that

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

we will proceed to calculate the slope of each line to determine the solution.

The formula to calculate the slope m between two points of the line is equal to

`m=((y2-y1))/((x2-x1))`

case N 1) line AB

Let

`A(-4,3)\\B(4,3)`

substitute the values

`m=((3-3))/((4+4))`

`m=((0))/((8))`

`m=0`

`0\\eq 3`

therefore

The line AB is not the solution

vase N 2) line FG

Let

`F(-3,-1)\\G(3,-3)`

substitute the values

`m=((-3+1))/((3+3))`

`m=((-2))/((6))`

`m=-1/3`

`-1/3\\eq 3`

therefore

The line EG is not the solution

case N 3) line CD

Let

`C(-3,0)\\D(3,2)`

substitute the values

`m=((2-0))/((3+3))`

`m=((2))/((6))`

`m=1/3`

`1/3\\eq 3`

therefore

The line CD is not the solution

case N 4) line HJ

Let

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

substitute the values

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

`m=((6))/((2))`

`m=3`

`3=3`

therefore

The line HJ is the solution

therefore

the answer is the option

line HJ