Question

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

y = 2x + 6

y = −1/2x + 3

y = −1/2x + 6

y = 2x + 3

Answer 1

@satellite73

Answer 2

@jim_thompson5910

Answer 3

the slope of the line y = 2x+2 is m = 2 = 2/1

the perpendicular slope is found by flipping the fraction to go from

2/1

to

1/2

then flipping the sign to go from

1/2

to

-1/2

This means the perpendicular slope is -1/2

Answer 4

with me so far?

Answer 5

fer sure

Answer 6

so we know that m = -1/2

Answer 7

the line we want must pass through (6,3)

which means that when x = 6, y is y = 3

Answer 8

y = mx + b

y = (-1/2)x + b ... plug in the slope we just found

3 = (-1/2)(6) + b .. plug in x = 6 and y = 3

now solve for b

Answer 9

I'll let you take over from here

Answer 10

got it, its C

Answer 11

Correct, it is C

Answer 12

thanks :)

Answer 13

no problem