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

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

case N 1) line AB

Let

substitute the values

therefore

The line AB is not the solution

vase N 2) line FG

Let

substitute the values

therefore

The line EG is not the solution

case N 3) line CD

Let

substitute the values

therefore

The line CD is not the solution

case N 4) line HJ

Let

substitute the values

therefore

The line HJ is  the solution

therefore

the answer is the option

line HJ

b is the answer that makes most sense

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: