2.2 Standard Form of Linear Functions

2.2 Standard Form of Linear Functions

You will be able to use the x- and y-intercepts of a function to graph a linear equation in standard from

Multiple Choice

What is the formula for standard form?

• $y=mx+b$

• $y-y_1=m\left(x-x_1\right)$

• $Ax+By=C$

• $\frac{rise}{run}$

Multiple Choice

Which equation is written in STANDARD form?

• $y=\frac{1}{2}x+2$

• $y-3=-5\left(x+2\right)$

• $-7x+2y=9$

• $3x+2=y$

Graph in Standard Form

 $ax+by=c$  

• Find the x-intercept and plot it on the x-axis

• Find the y-intercept and plot it on the y-axis

• Draw a line throughthe x-intercept and the y-intercept

 $2x-6y=12$  

• Find the x-intercept, by letting y = 0.

•  $2x-6\left(0\right)=12$  

•  $2x-0=12$  

•  $2x=12$  

•  $\frac{2x}{2}=\frac{12}{2}$  

•  $x=6$  

• Plot a point at (6, 0)

 $2x-6y=12$  

• Find the y-intercept, by letting x = 0.

•  $2\left(0\right)-6y=12$  

•  $0-6y=12$  

•  $-6y=12$  

•  $\frac{-6y}{-6}=\frac{12}{-6}$  

•  $y=-2$  

• Plot a point at (0, -2)

 $2x-6y=12$  
x-intercept = 6
y-intercept = -2

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

What is the y-intercept of

 $2x-5y=35$ ? 

•  $\left(0,-7\right)$  
  

•  $\left(-7,0\right)$ 

•  $\left(\frac{35}{2},0\right)$  

•  $\left(0,\frac{35}{2}\right)$  

Multiple Choice

Name the x- and y-intercepts for the equation:
5x - 3y = 15

• (3, 0) and (0, -5)
• (0, 3) and (-5, 0)
• (5, 15) and (15, 3)
• (0, -3) and (5, 0)

Multiple Choice

Which graph represents 2x + 4y = 12?