Question

the coordinate plane below shows the graph of line ( l ).
graph of line ( l ) passing through the origin with a positive slope
which equation describes the line that passes through 3 on the ( y )-axis and is parallel to line ( l )?
a. ( y = 3x + 3 )
b. ( y = 3x )
c. ( y = -\frac{1}{3}x )
d. ( y = x + 3 )

Explanation:

Step1: Find slope of line l

Line l passes through (0,0) and (2,6). Slope $m = \frac{6-0}{2-0} = 3$.

Step2: Determine parallel line equation

Parallel lines have same slope (3). Y-intercept is 3. Equation: $y = 3x + 3$.

Answer:

A. $y = 3x + 3$