Question

What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4?

Answer 1

Medals 0
the slope-intercept formula is

y = mx + b

to find b, replace "y" with your y-coordinate (6), replace "x" with your x-coordinate (0), replace "m" with your slope (4), and solve for b

Answer 2

6x+4?

Answer 3

=y

Answer 4

replace "y" with 6
replace "x" with 0
replace "m" with 4

Answer 5

will they all stay positive

Answer 6

what?

Answer 7

the numbers

Answer 8

all you are doing is taking y, x, and m and replacing them with these new numbers

Answer 9

erase the y and write 6 where it used to be
erase the x and write 0 where it used to be
erase the m and write 4 where it used to be

Answer 10

y=6
x=0
m=4

Answer 11

no, in the equation

Answer 12

take the equation

y = mx + b

Answer 13

replace y with 6
replace x with 0
replace m with 4

Answer 14

6=(4,0)+b

Answer 15

almost

Answer 16

6 = 4*0 + b

Answer 17

do you know how to find what b equals?

Answer 18

6?

Answer 19

good!

Answer 20

now we know that b = 6

Answer 21

so we go back to our original equation

y = mx + b

we know that m = 4 and b = 6

so our answer is

y = 4x + 6

Answer 22

y=4x+6

Answer 23

good!

Answer 24

thank you, can you help with 1 more

Answer 25

sure

Answer 26

Use the graph below to answer this question:

graph of line going through negative 1, 5 and 4, negative 5

Find the average rate of change for the given function from x = −1 to x = 4.

Answer 27

use the formula

f(4) - f(-1)
--------
4 - (-1)

Answer 28

f(4) = -5
f(-1) = 5

Answer 29

so your formula becomes

5 - (-5)
------
4 - (-1)

all you need to do is simplify that and you'll have your answer

Answer 30

(------) means divide

Answer 31

hold on one sec i need to write this

Answer 32

i got 2

Answer 33

oh whoops I made a typo

Answer 34

-5 -(5)
-------
4 - (-1)

so it ends up being -2

Answer 35

ohhh okay, thank you