Question

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

Answer 1

Answer:

line HJ

Step-by-step 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

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

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

$m=3$

therefore

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

Answer 2

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.