Question

In y=mx + b form state the equation that goes through the points (0, 6) and (2, 14). (Hint: Find the slope and state the value of the y-intercept.)

Medals will be rewarded! :p

Answer 1

Anyone?

Answer 2

@mathstudent55

Answer 3

Ok to find the slope you use the formula: \[M = \frac{ Y2 - Y1 }{ X2-X1 }\]

Answer 4

So plug in

Answer 5

so

m = 6 - 14/ 0 - 2

Answer 6

m = 6^2 - 14^2/0^2 - 2^2

Answer 7

No no, Y2 - y1, your second y.

\[m = \frac{ 14 - 6 }{ ? }\] you do the x's

Answer 8

2 - 0

Answer 9

m = 14 - 6/2 - 0

Answer 10

Yes so (0, 6) and (2, 14)

\[M = \frac{ 14 - 6 }{ 2 - 0 }\]

Simplify now

Answer 11

ok m = 8/2

Answer 12

Ok, that can be further simplified. 8 / 2 = ?

Answer 13

4

Answer 14

Yes! So M = 4

Your slope or M = 4


Now you plug in: Y - y1 = M(x-x1)

Answer 15

?, ok now I'm confused do I have to make an equation

Answer 16

No no, you plug in your values into that formula, what is your y1 ?

Answer 17

14

Answer 18

Nope, look again, that is your y2. Y1

the first ordered pair. (x,y)

Answer 19

6?

Answer 20

Yup!

Answer 21

Ok, so what's your M ?

Answer 22

M = slope btw

Answer 23

4

Answer 24

And x1 ?

Answer 25

0

Answer 26

kk,

Y1 = 6
M = 4
x1 = 0


Now plug those values into: Y-y1 = M(x-x1)

Answer 27

Y - 6 = 4(x - 0)

Answer 28

Is this the asnwer

Answer 29

Yup, now simplify.

First multiply 4*x and 4*0

Answer 30

No there's a bit more to it :P

Answer 31

4x and 0

Answer 32

Now rewrite it,

y-6 =4x + 0

Add 6 to both sides to have y = mx + b

Answer 33

Now keep in mind that in Y = Mx + B

The M is the slope,
and the B is the y intercept.

Answer 34

Y= 6?
Mx= 4
B= ?

Answer 35

No no, first rewrite it.

y-6=4x + 0

Add 6 to both sides.

y-6 = 4x + 0
+6 +6

y = 4x + 6

Answer 36

Now you have it in form of y = mx + b


Y = 4x + 6

4 = M
The y intercept is B

B = 6

Answer 37

Oh, now I get this makes a lot more sense thx for your help. I actually have other question if you would like to help me on them

Answer 38

Np!