Algebra Lesson 3-1

Algebra Lesson 3-1

Graphing Linear Functions

To determine if an equation is linear:

• look for oddities - see anything abnormal?

• Try to write the equation in STANDARD FORM.

Fill in the Blanks

Determine in the equation x = y - 5 is linear. If it is, write it in standard form.

Multiple Select

Select all of the equations below that are linear and can be written in the form Ax + By = C.

• $6x^2\ =\ y$

• -4y + 2 + 6 = 2 - x

• $\frac{2}{3}x\ -\ \frac{1}{3}y\ =\ 2$

• 4xy + 5y = 13

• -2x - 3 = y
  
  

To find the intercepts of a table or graph:

• Table: the y-intercept is where x=0 and the x-intercept is where y=0

• Graph: the y-intercept is where the graph crosses the y-axis, the x-intercept is where the graph crosses the x-axis

Open Ended

Go to page 147 in your book. Find the x- and y-intercepts of #5 and describe what they mean below.

Open Ended

On that same page, find the x- and y-interecepts of #6 and describe what they mean below:

To graph you can make a table or find the intercepts:

• Table: Make a T table. Choose your x values and plug them into the equation to find the y values. Those are your points. Graph and connect.

• Intercepts: Write it twice! Make x=0 once and solve for y and then make y=0 on the other and solve for x. Plot the two intercepts and connect.

Multiple Select

Choose all of the correct pairs below that would go in the table for the function y = 2x - 1

• (-1,-3)

• (0,1)

• (0,-1)

• (2,3)

• (1,3)

Multiple Choice

What would be the easiest way to graph 2x - 5y = 1?

• osmosis

• intercepts

• table

• using slope-intercept form

Fill in the Blanks

What are the x- and y-intercepts of the equation 2x - 5y = 1?

Domain and range:

• Domian: how far left and right is the function going? ( ) for infinities, [ ] for numbers. Smallest number on the left.

• Range: what's the lowest it'll go and the highest?

Open Ended

State the domain and range

Fill in the Blanks

The equation 15x + 30y = 180 represents the number of children x and adults y who can attend the rodeo for $180. Use the x- and y-intercepts to graph the equation on your graph paper and then describe what the intercepts mean below.

Poll

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