Question

Which equation is perpendicular to y=-4x+2?Answer choices1)y=4x+22)y=40x+33)y=-4x+6004)y=1/4x+5

Answer 1

We have the equation of a line that is y=-4x+2.

A perpendicular line will have a slope that is the negative reciprocal of the original slope.

Then, as our original line has a slope of m=-4 (the factor that multiplies the x in slope-intercept form), the negative reciprocal is:

`m_2=-(1)/(m_1)=-(1)/(-4)=(1)/(4)`

Then, any line that has a slope m=1/4 is perpendicular to the original line.

From the options, the only one that satisfies this condition is Option 4: y=1/4*x+5.

Answer: 4)y=1/4x+5​