Question

Will give 25 points! Please Explain! Im so confused! Big test on friday!

Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation
(5,2), y=x-5

a. y=-x+7
b. y=3x+1
c. y=x+7
d. y=x+ 12/5

Please Dont forget to Also Explain! Thank You!

Answer 1

a. y = -x + 7

Explanation:

The line with equation y = x - 5 has slope = 1.

A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.

y = -x + b

To find the value of b, we plug in the given point for x and y and solve for b.

y = -x + b

2 = -5 + b

b = 7

y = -x + 7

Answer: a. y = -x + 7