$\frac{1}{6}\$

$\frac{1}{8}\$

8

21

Find the change in x and change in y. They write it as a fraction, $\frac{x}{y}\$

Find the change in x and change in y. They write it as a fraction, $\frac{y}{x}\$

Graph the points (x,y) then count the rise and run. Slope is $\frac{rise}{run}$

Use the slope formula! $\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}\ =m$ Just be really careful with your negatives.

m=9

m=11

m=10

m=5

The rate per 1 of something.

How much you pay for one item.

The y-value when x=1.

The slope simplified to a denominator of 1.

$24 per 2 hours

$12 per 1 hour

$36 per 3 hours

$60

$6 per pound

$7 per pound

$3 per pound

$150 per pound

pears

apples

cabbage

Take away 1 from x

Times x by 4

Add 3 to x

3 times x +1

y = 3x - 2

y = 2x + 1

y = 1x

x - 1 = y - 2

That's a LINE?

Choose some x-values and substitute them in for x. Then use GEMDAS to find y. That gives you a point to graph (x,y). Graph two points and connect them to make a line!

It's in slope intercept form, y = mx + b, so the slope is 2 and the y-intercept is -1. Plot -1 on the y-axis, then move up 2 and right 1 to get to the next point. Connect them to make a line.

Um, is that the wrong picture? I don't see any equations...

x=5

(1,-3)

(-3,1)

Press Play to watch the video.

It's less than three minutes, just watch it! Make sure your sound is on. You can use the back arrow to return to this slide if it passes the video.

(2,1)

(-1,-1)

(-4,2)

(3,3)

I think I've done this...

Um...

Yes! I've definitely done this.

Can you show me this?

Graph them!

Substitute 4x for y in the second equation. 4x + x = 5

Substitute 5 for x. Thus y=4(5) and y=20. Done!

x=1

x=2

x=3

x=-1

y = 4x so y must be 4

x = 1/4

x and y are always equal, so y=1

(6,4)

(2,8)

(8,2)

(5,5)

(1,5)

(6,12)

(10,8)