In the $xy$-plane, line $l$ passes through the point $(0, 2)$ and is parallel to the line represented by the equation $y=2x-1$. If line $l$ also passes through the point $(2, X)$, what is the value of $X$?
Answer:
6
Explanation
The correct answer is $6$.
Find the slope of line $l$ knowing that the slopes of two parallel lines are equal. Then, substitute a known point into line equation, $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept to find $b$.
✨ Expert's Tip ✨
The product of the slopes of the lines that are perpendicular is $-1$.
