Question

Write an equation in slope-intercept form of the line with the given characteristics
through: (-3,1) slop=2

Answer 1

General slope-intercept form is written as \(y=mx+b\)

They give you the slope and a point

Points are written as (x,y)

First start off by substituting what they gave you

Answer 2

ok

Answer 3

then?

Answer 4

Once you have that then you can solve for b

Do you know how to substitute and solve for it?

Answer 5

no not really im not really in school that much so no i guess not

Answer 6

Ah

Substituting just means switching the variable (or letter for whatever number they give you)

In this case, they told you slope = 2

So you would do \(y=2x+b\)


Does that make sense?

Answer 7

umm i guess

Answer 8

Hmm what confuses you?

Answer 9

math

Answer 10

Haha in specific?

Answer 11

idrk

Answer 12

Don't think too hard on it


You're just switching numbers and letters


\(y=mx+b\)

y = y value
m = slope
x = x value
b = y-intercept

We started out with slope

So \(y=mx+b\) becomes \(y=\color{red}2x+b\)

Yes?

Answer 13

yes

Answer 14

Nice

Now, we have point \((-3,1)\)

Points is the same as saying \((x,y)\)

This would mean -3 is our "x value" and 1 is our "y value"

Do you know how to substitute them into the equation now?

Answer 15

i think so yeah

Answer 16

Go ahead and try it (I'll let you know if its good or if it needs a fix)

Answer 17

ok thx