Question

Slope-intercept form:
1. parallel to y=4x+2, y-intercept at 4
2. perpendicular to y=1/4x+2, passes through (0,0)
3. slope -2/3, x-intercept at 3

Answer 1

all parallel lines have equal slopes

Answer 2

so anything parallel to y = 4x+2 has a slope of 4

Answer 3

ok so how do i solve the first one?

Answer 4

we have a slope of 4 and a y-intercept of 4

Answer 5

general equation is y = mx+b

Answer 6

m = slope, b = y-intercept

Answer 7

ok i got that part

Answer 8

so would it be 4=4x+2?

Answer 9

no, y = 4x+4

Answer 10

ok then don't you subtract 4 from both sides to b or leave as it is?

Answer 11

you leave it as is

Answer 12

ok what about problem 2?

Answer 13

Take the slope of 1/4 and flip it to get 4/1 or 4. Then change the sign to get -4

Answer 14

So

y = mx+b

y = -4x+b ... Plug in m = -4

0 = (-4)(0) + b

Now solve for b

Answer 15

well -4 times 0 equals 0 so what would b equal?

Answer 16

go so far

y = mx+b

y = -4x+b ... Plug in m = -4

0 = (-4)(0) + b

0 = 0 + b

0 = b

b = 0

Answer 17

good*

Answer 18

So the equation is y = -4x+0 or just y = -4x

Answer 19

ok thanks what about 3?

Answer 20

y = mx + b


y = (-2/3)x + b ... Plug in m = -2/3


0 = (-2/3)(3) + b ... Now plug in the given x-intercept


0 = -6/3 + b


0 = -2 + b


0+2 = -2 + b + 2


2 = b


b = 2


So the equation is \(\Large y = -\frac{2}{3}x+2\)

Answer 21

ok thx

Answer 22

np