Question

The equation of line EF is y = 1/2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).

Answer 1

y = −2x − 2
y = -1/2x + 2
y = 1/2x − 2
y = − 2x + 2

Answer 2

@jim_thompson5910 @cwrw238 @Abhisar
Any help?

Answer 3

what is the slope of your given line?

Answer 4

what is the slope of line EF?

Answer 5

the slope is 1/2, right?
@jim_thompson5910

Answer 6

@jim_thompson5910 you there?

Answer 7

sorry just got these notifications

Answer 8

yes the slope of EF is 1/2

Answer 9

ANY other line will also have a slope of 1/2

why? because any two parallel lines have equal slopes (just different y intercepts)

Answer 10

so ANY line parallel to EF is of this form

y = (1/2)x + b

where b is some fixed number

Answer 11

okaay im starting to understand..

Answer 12

let's force the line to go through (0,-2)

y = (1/2)x + b

-2 = (1/2)(0) + b

-2 = 0 + b

-2 = b

b = -2

we know that m = 1/2 and b = -2 so the equation is y = (1/2)x - 2

Answer 13

notice how I plugged in (x,y) = (0,-2)

Answer 14

Ohhhh! you are a life saver! Thank you

Answer 15

@jim_thompson5910 can you help with one more? I'll medal after.

Answer 16

sure

Answer 17

The equation of line AB is (y−3) = 5 (x − 4). What is the slope of a line perpendicular to line AB?
−5
5
-1/5
1/5

Answer 18

what is the slope of line AB? You'll have to solve for y to determine this.

Answer 19

or nvm, you can compare that to y - y1 = m(x-x1) to determine the slope m

Answer 20

I'm not understanding..