Question

What is the slope-intercept form of the function described by this table?

x 1 2 3 4
y 2 7 12 17

y = __x + __

Answer 1

@fallenangelorchid @quin100 @quesia @Write0The0Right0For0Wrong0Doing @whydoihavetosignup1 @emo__gamer101 @Goku-Kai @just_one_last_goodbye @hugsnotughs @jordanloveangel @CausticSyndicalist @Michele_Laino @gelow @gwenny_78 @Warrior678 @kyley_bear @oscar55773 @undeadknight26

Answer 2

WHAT?

Answer 3

sorry for caps

Answer 4

I had to type the graph

Answer 5

For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

Answer 6

since you are searching for this equation,:
\[y=ax+b\]
if I set x=1,and y=2 into my formula, and I get:\[2=a+b\]

Answer 7

https://www.khanacademy.org/math/algebra-basics/core-algebra-graphing-lines-slope/core-algebra-equation-of-a-line/v/slope-intercept-form-from-table

Answer 8

similarly if I use the second point, namely if I set x=2 and y=7 into my formula, I get:
\[7=2a+b\]

Answer 9

Hey when you finish helping @LDShadowLady , could you guys help me out???

Answer 10

Now we have got a system of two equations, namely:
\[2=a+b,7=2a+b\]
please solve that equations for a and b

Answer 11

ok! @kyley_bear

Answer 12

please, do you know how to solve that system? @LDShadowLady

Answer 13

@LDShadowLady

Answer 14

yes

Answer 15

ok! Then try, please!

Answer 16

is it y = 5x + -3

Answer 17

its alright

Answer 18

that's right! @LDShadowLady
y=5x-3

Answer 19

ok thanks