Question

Write the equation of the line in slope-intercept form with a slope of -6 and a y-intercept of 9.

Answer 1

the basic slope intercept form equation is

y = mx+b

Answer 2

m is the slope

b is the y-intercept

Answer 3

the given slope is -6, so m = -6

Answer 4

the y-intercept is 9, which is really the point (0,9)

so b = 9

Answer 5

I'm sure you see what to do from here

Answer 6

is the answer y=-6x+9

Answer 7

exactly

Answer 8

you got it

Answer 9

thank you!

Answer 10

yw

Answer 11

can you help me with another?

Answer 12

sure

Answer 13

what's your question

Answer 14

Choose the equation of the line passing through the point (6, -2) and parallel to y = x + 7.

y = x + 8

y = x - 4

y = x + 4

y = x - 8

Answer 15

parallel lines have equal slopes

Answer 16

the slope of y = x+7 is 1

so the slope of our answer will also be 1

Answer 17

so m = 1

Answer 18

y = mx + b

y = 1x + b

now plug in the point you want this parallel line to go through

so plug in (6,-2) or x = 6 and y = -2 to get

-2 = 1(6) + b

-2 = 6 + b

solve for b

Answer 19

wait... how do i do that?

Answer 20

Subtract 6 from both sides.

Answer 21

to isolate b

Answer 22

i got -8

Answer 23

same here

Answer 24

m = 1
b = -8

Answer 25

y = mx + b


y = 1x - 8


y = x - 8

Answer 26

thank you!

Answer 27

sure thing