Write the equation of a line that passes through (2 , - 5) and is perpendicular to y = 4x - 10.

Answer 1

perpendicular lines have slopes that are the negative inverse.

y=4x-10 has slope = 4. the negative inverse is -1/4

y=(-1/4)x + b where b= y intercept, calculated by plugging in the point (2,-5)

-5 = (-1/4)(2) + b

b = -5 + 1/2 = -9/2

y = (-1/4)x - 9/2 or

4y=-x- 18 or

x+4y = -18 is the perpendicular line through the given point (2,-5)