Question

Which of the following equations is perpendicular to y = 2x + 5 and passes through the point (4 , 6)? A. y = – 1 2x + 8 B. y = 2x + 8 C. y = – 1 2x – 2 D. y = 2x – 2

Answer 1

Answer:

The equation would be y = -1/2x + 8

Step-by-step explanation:

To find the equation of the line, we start by find the slope. Perpendicular slopes have opposite and reciprocal slopes. since the original slope is 2, then the perpendicular slope is -1/2.

Now, using the point and the slope in point-slope form, we can find the equation.

y - y1 = m(x - x1)

y - 6 = -1/2(x - 4)

y - 6 = -1/2x + 2

y = -1/2x + 8