Graphing Lines

Graphing Lines

Practice in deciding what form an equation is in, and what it tells you

How do we know if the equation is in standard form?

look for both variables to be on the same side of the equal sign

How do we know an equation is in slope-intercept form?

the y variable MUST be alone ( y = )

Multiple Select

Choose all of the equations that are in standard form:

• $y\ =\ \frac{2}{3}x-5$

• $\frac{1}{2}x+2y=5$

• $y\ -2x\ =\ 7$

• $x\ =\ y\ +\ 6$

• $x=5$

Fill in the Blanks

Standard form helps us get x and y-intercepts quickly.
If the equation is 4x+5y=40, how do we find the x-intercept?

Fill in the Blanks

Find the x and y-intercepts:

 $x-4y=8$  
enter your answers as points

Multiple Choice

What are the intercepts for

 $-2x+\frac{1}{2}y=10$  

• (5,0) and (0,5)

• (-5,0) and (0,5)

• (5,0) and (0,20)

• (-5,0) and (0,20)

Multiple Select

Choose all of the equations in slope-intercept form:

• $x=3y-4$

• $y=x+5$

• $y=-2$

• $3x+y=7$

• $y=\frac{1}{3}x+1$

Fill in the Blanks

Slope-intercept form helps us find the slope and y-intercept quickly.
For the equation

 $y=3x-2$  what is the slope?

Fill in the Blanks

Slope-intercept form helps us find the slope and y-intercept quickly.

For the equation

y=3x-2

what is the y-intercept?

Multiple Select

 $y=x+5$  

For the equation given, what are the slope and y-intercept:

• slope is 5

• y-intercept is 5 (0,5)

• slope is 0

• slope is x

• slope is 1

Multiple Choice

 $4x-2y=6$ 

is in what form?

• standard form

• slope-intercept form

• neither

Multiple Choice

 $4x+2y=6$  

what information is easily visible?

• slope is 4, y intercept is 2

• slope is 4, y intercept is 3

• x intercept is 1.5 , y-intercept is 3

• x intercept is 4, y-intercept is 2

Multiple Choice

 $y=\frac{-3}{4}x+2$  
To graph this equation you should:

• Make a point where x is -3/4 and one where y is 2 and then draw a line through those points.

• Start at the point (0,2) and then count down three and then right 4 to plot another point. Draw a line through those points.

• Start at the point (0,2) and then count down three and then left 4 to plot another point. Draw a line through those points.

• Start at (0,0) and then go up 2 and then right 4 to plot another point. Draw a line through those points.

Open Ended

1) Create an example of an equation in standard form.

2) Tell what key information the equation gives you in words and numbers.

Open Ended

1) Create an equation in slope-intercept form.

2) Tell what key information the equation gives you in words and numbers.