Concept 1260 Quick Check

Concept 1260 Quick Check

Solve Systems by Graphing

 $y=mx+b$  

Slope intercept form. M is the slope and b is the y-intercept.

The y-intercept is where the line crosses the y-axis (up and down)

When Graphing with Slope Intercept Form

• Start with b the y-intercept

• Use your slope to plot your next point(s)

• Draw your line

Multiple Choice

What is the slope of this equation

 $y=3x+4$  

• y

• 3

• 4

• x

Multiple Choice

What is the y-intercept of this equation?

 $y=\frac{1}{3}x+10$  

• y

•  $\frac{1}{3}$  

• 10

• x

Let's try

 $y=2x+3$  

• Start with the y-intercept

• Use the slope  $\left(\frac{rise}{run}\right)$  

• Sometimes you need to go in reverse

 $y=x$  

• Start with the y-intercept

• Put a 1 in front of lonely variables if you need to

 $y=-2x+1$  

Poll

How do you feel about graphing with equations?

• Ruh Roh

• Starting to get it

• Half way there

• I could do this

• No Problem at all!

Sometimes both variables are on the same side.

 $3y+6x=21$   We need to make the equation slope intercept form  $y=mx+b$  

Getting a system of equations into Slope Intercept Form

• Step 1. Move the entire term of X with either addition or subtraction.

• Step 2. Get y by itself

• Step 3. Write out the slope intercept form and graph your line

Practice

 $3y+6x=15$  

• Move the entire term of X

• Solve for Y

• Rewrite and graph

 $y-x=-3$  

• Step 1

• Step 2

• Step 3

Remember HOY

• Horizontal

• 0 slope

• y=#

Remember VUX

• Vertical Line

• Undefined

• X=#

Poll

How do you feel with rewriting equations into slope intercept form

• Slope what?

• I think i'm getting it.

• Halfway there

• No problem!