Question

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

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

$m=\frac{(y2-y1)}{(x2-x1)}$

case N 1) line AB

Let

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

substitute the values

$m=\frac{(3-3)}{(4+4)}$

$m=\frac{(0)}{(8)}$

$m=0$

$0\neq 3$

therefore

The line AB is not the solution

vase N 2) line FG

Let

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

substitute the values

$m=\frac{(-3+1)}{(3+3)}$

$m=\frac{(-2)}{(6)}$

$m=-1/3$

$-1/3\neq 3$

therefore

The line EG is not the solution

case N 3) line CD

Let

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

substitute the values

$m=\frac{(2-0)}{(3+3)}$

$m=\frac{(2)}{(6)}$

$m=1/3$

$1/3\neq 3$

therefore

The line CD is not the solution

case N 4) line HJ

Let

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

substitute the values

$m=\frac{(2+4)}{(1+1)}$

$m=\frac{(6)}{(2)}$

$m=3$

$3=3$

therefore

The line HJ is  the solution

therefore

the answer is the option

line HJ