Graphing & Solving 10/6and10/7

Graphing & Solving Linear Functions & Systems

Hotspot

The graph of a linear function, f, is shown.

Click on the x-intercept of f.

Hotspot

The graph of a linear function, f, is shown.

Click on the y-intercept of f.

Y-intercept

X-intercept

Ax+By=C

Y-intercept

X-intercept

2x+3y=12

Graphing

Now lets use the x-intercept and y-intercept to graph

2x+3y=12

Graphing

TABLE TALK

With your partner

Use the shortcuts for the x & y intercepts.

Then graph the line.

2x+5y=10

Graphing

Use the x-intercept and the y-intercept to graph the line.

3x+4y=-12

Converting Standard Form to y=

​2 Steps

1. Add or Subtract Ax

2. Divide by B

​4x + 7y = 28

​-2x + 6y = 18

Answer on your WHITEBOARD

Drag and Drop

Given the equation below. Explain the steps needed to convert to y=

5x - 3y = 30

First, I would ​

Placeholder

Then I would ​

Placeholder

Drag these tiles and drop them in the correct blank above

subtract 5x

divide by -3

add 5x

divide by 3

Multiple Choice

 Which graph represent the equation? 
$$8x+4y=12$$  

Multiple Choice

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

Multiple Choice

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

​4x+8y=24

​-4x-2y=-12

This is for the next problem.

Multiple Choice

-4x-2y=-12
4x+8y=-24

• (5,6)
• (6,-6)
• (6,-2)
• (4,-3)

Multiple Choice

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Multiple Choice

−8x − 10y = 20

−8x − 6y = −4 

• Infinite number of solutions  

• (6, 5) 

• (−6, −5) 

• (5, −6) 

Multiple Choice

3x + 2y = –13

3x + 4y = 1 

• (-9, 7)

• (7, -9)

• (4, -7)

• (-7, -4)

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1
• -1
• 3
• 4