Question

Mark the line that is parallel to $y=-2x+3$ and has a $y$-intercept of $4$.

• A. $y=-2x+4$
• B. $y=-2x-4$
• C. $y=2x-4$
• D. $y=2x+4$
• E. $y=\frac{1}{2}x+4$

Answer 1

The correct option is A $y=-2x+4$

When two line are parallel, thier slopes are equal.

Slope of $y=-2x+3$ is $m=-2$

Slope of line parallel to $y=-2x+3$ is $-2$

$y$-Intercept of line parallel to line $y=-2x+3$ is $4$.

Equation of the line whose slope is $-2$ and y-intercept as $4$ is $y=-2x+4$.