Standard Form and Graph Slides

Graphing Equations in Standard Form

By Dianne Saevig

Multiple Choice

Determine the form of the linear equation below.

$$-2x+y=15$$  

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Determine the form of the linear equation below.

$$y=-\frac{1}{2}x-3$$   

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Determine the form of the linear equation below.

$$y=-5x-16$$    

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Determine the form of the linear equation below.

$$x+y=5$$     

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Determine the form of the linear equation below.

$$2y=5x-8$$     

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Determine the form of the linear equation below.

$$y=x$$      

• Slope-Intercept Form

• Standard Form

• Neither

Multiple Choice

Solve for y.

$$8x+3y=39$$  

• $$y=\frac{8}{3}x+13$$  

• $$y=-\frac{8}{3}x+13$$  

• $$y=\frac{3}{8}x+13$$  

• $$y=-\frac{3}{8}x+13$$  

​Solution

Multiple Choice

Solve for y.

$$8x-4y=-28$$   

• $$y=2x+7$$   

• $$y=-2x+7$$   

• $$y=2x-7$$   

• $$y=-2x-7$$   

​Solution

Multiple Choice

Solve for y.

$$3x-3y=18$$    

• $$y=x+6$$    

• $$y=-x+6$$    

• $$y=x-6$$    

• $$y=-x-6$$    

​Solution

Multiple Choice

Solve for y.

    $$4x+8y=-8$$  

•     $$y=\frac{1}{2}x+2$$  

•     $$y=-\frac{1}{2}x+2$$  

•     $$y=-\frac{1}{2}x+2$$  

•     $$y=-\frac{1}{2}x-2$$  

​Solution

Multiple Choice

Solve for y.

    $$-3x+9y=-36$$   

•      $$y=\frac{1}{3}x+4$$  

•      $$y=-\frac{1}{3}x+4$$  

•      $$y=\frac{1}{3}x-4$$  

•      $$y=-\frac{1}{3}x-4$$  

​Solution

​Review Graphing a Line (y=mx+b)

Multiple Choice

Graph $$y=-\frac{1}{2}x-3$$  

Multiple Choice

Graph $$y=x+4$$   

Multiple Choice

Graph $$x=2$$    

Multiple Choice

To graph $$-6x-3y=15$$  , we must first get it in slope-intercept form.

• $$y=2x+5$$  

• $$y=2x-5$$  

• $$y=-2x+5$$  

• $$y=-2x-5$$  

Multiple Choice

We have converted $$-6x-3y=15$$   to $$y=-2x-5$$  .

Now it's time to graph it.

Multiple Choice

To graph $$-5x+5y=25$$   , we must first get it in slope-intercept form.

• $$y=x+5$$   

• $$y=-x+5$$   

• $$y=5x+5$$   

• $$y=-5x+5$$   

Multiple Choice

We have converted $$-5x+5y=25$$    to $$y=x+5$$   .

Now it's time to graph it.

Multiple Choice

To graph $$x+2y=8$$    , we must first get it in slope-intercept form.

• $$y=\frac{1}{2}x+4$$    

• $$y=\frac{1}{2}x-4$$    

• $$y=-\frac{1}{2}x+4$$    

• $$y=-\frac{1}{2}x-4$$    

Multiple Choice

We have converted   $$x+2y=8$$    to $$y=-\frac{1}{2}x+4$$    .

Now it's time to graph it.