Question

What is the equation of the line that is perpendicular to y equals negative four x plus five and passes through the point four comma negative three ?

Answer 1

y= 1/4x - 4

Explanation:

use point slope form which is:

y - y1 = m(x - x1)

we know that the slope will be 1/4 because perpendicular is a negative reciprocal.

plug everything into point slope form:

y + 3 = 1/4 ( x - 4)

we distribute the 1/4 and then subtract the three and we get our answer

y= 1/4x - 4