Write the equation of the line that passes through the point P (3, 4) and is perpendicular to the line y = - 5x + 8.

Question

Quizplus · Accepted Answer

The given line has a slope of -5, which means any line perpendicular to it will have a slope of 1/5 (since the product of slopes of two perpendicular lines is -1).

So, the equation of the line passing through (3,4) with a slope of 1/5 can be written as:

y - 4 = (1/5)(x - 3)

Simplifying, we get:

y = (1/5)x + (16/5)

Therefore, the answer is choice C.

Write the Equation of the Line That Passes Through the Point