How do you find the y-intercept and slope of these problems?

Question

Hey, I need some help on finding the y-intercept and slope for these problems:

2x-8y=x+16

x+y+4=x+6

Please solve these, and show me step by step how you got it.
Thanks!

Answer 1

you need to get y by itself.

2x-8y=x+16

-8y=-x+16

y=1/8x+2

slope is 1/8 and y intercept is 2



x+y+4=x+6

y+4=0x+6

y=0x+2

slope is 0 and y intercept is 2

Answer 2

So to find the y-intercept and slope for those problems, all you have to do is convert the problems into slope-intercept form (y=mx+b)



2x - 8y = x + 16

-2x -2x



-8y = -x + 16

----- -----------

-8 -8



y = 1/8x -2



In slope-intercept form, y=mx+b, m is the slope, and b is the y-intercept.



So your slope would be 1/8 and your y-intercept would be -2.



Same for the 2nd problem:



x + y + 4 = x + 6

- x - x



y +4 = 6

-4 -4

y = 2



Because there is no x in this equation, the slope is 0. (On a graph, the line would be horizontal). The y-intercept is 2.



Hope I've helped you better understand these problems! :)

Answer 3

okay,first start by writing the formula y=mx+b

second subtract 2x from the left then subtract 2x from the x already on the right side of the equals sign which gives you -1x

2x-8y=x+16

-2x -2x



then you get 8y=-1x+16 and you need y by itself so divide 8 by 8y and 8 cancels itself out then divide 8 by -1 and 16

8y=x+16

/8 /8 /8



so you get y=-1/8x+2



(-1/8)is m-or slope

(2) is y-intercept

Answer 4

Okay, we're going to be putting these into slope-intercept forms and go from there. Slope intercept form is y=mx+b, which allows us to know both the slope and y-intercept (m and b respectively)



2x-8y=x+16

-8y =-x+16

y=1/8x-2



m (or slope) = 1/8

b (or y-intercept) = -2

Answer 5

2x-8y=x+16

1. Get x's and y's on opposite sides by adding/subtracting them to get x=8y+16

2. Subtract 16 from both sides to get x-16=8y

3. Divide both sides by 8 to get (x/8)-2=y



x+y+4=x+6

1. Subtract x from both sides to get y+4=6

2. Subtract 4 from both sides to get the answer of y=2