Question

Select the line having the same y-intercept as $y=3x+1$ and which is perpendicular to $y=\frac{1}{4}x+2$.

• A. $y=-\frac{1}{3}x+1$
• B. $y=4x+1$
• C. $y=-3x+2$
• D. $y=-4x+1$
• E. $y=3x+2$

Answer 1

Answer: (D)

$y=-4x+1$

Given equation $y=3x+1$is $y$-intercept and which is perpendicular to $y=\frac{1}{4}x+2$

Then slop of equation $y=3x+1$ is $3$

And slope of equation $y=\frac{1}{4}x+2$ is $\frac{1}{4}$

Then The slope of any line perpendicular to the given line is $-4$.

So, in option given (D) is the equation of line $y=-4x+1$ who slope is $-4$.

Then (D) is write answer.