Question

Write the equation of the

line that is perpendicular to
y = -7/5x + 1 and goes
through (5, 3)

A) y= 7/5x-4/7

B) y= -7/5x-4/7

C) y= 5/7x-3/7

D) y= 5/7x-4/7

E) y= 1/7x+3

Answer 1

Explanation:

The answer is D.

The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7