Standard form of a Linear Equation

What is the slope-intercept form of a line?

• $Ax+By=C$

• $y=mx+b$
  

• $y-y_1=m\left(x-x_1\right)$
  

• $y=Ax+By$
  

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of the following are written in standard form?

• $y=3x-5$

• $3x+16=5y$
  

• $\frac{2}{3}x+\frac{9}{13}y=21$

• $5x+7y=-12$

What is the y-intercept of the equation below?

 $2x-5y=35$  

•  $\left(0,-7\right)$  
  

•  $\left(-7,0\right)$  
  

•  $\left(\frac{35}{2},0\right)$  
  

•  $\left(0,\frac{35}{2}\right)$  
  

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the slope of the equation shown below?

 $6x-y=9$  

•  $\frac{9}{6}$  
  

•  $-9$  
  

•  $6$  
  

•  $-6$  
  

Tags

CCSS.8.EE.B.5

What is the x-intercept of the equation shown below?

 $x+4y=7$  

•  $\left(\frac{7}{4},0\right)$  
  

•  $\left(0,\frac{7}{4}\right)$  
  

•  $\left(7,0\right)$  
  

•  $\left(0,7\right)$  

Tags

CCSS.HSA.REI.D.11

Name the x- and y-intercepts for the equation below.

 $5x-3y=15$  

• (3, 0) and (0, -5)

• (0, 3) and (-5, 0)

• (5, 15) and (15, 3)

• (0, -3) and (5, 0)

Tags

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.10

Convert the following equation to slope intercept form.

 $x-3y=6$  

•  $y=-x-2$  

•  $y=x+2$  

•  $y=\frac{1}{3}x-2$  

•  $y=-\frac{1}{3}x+2$  

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Convert the following equation to standard form.

 $y=\frac{1}{4}x+4$  

•  $x+4y=8$  

•  $x-4y=-16$  

•  $y=x+16$  

•  $4y+x=8$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert the following equation to slope intercept form.

 $13x-11y=-12$  

•  $y=\frac{13}{11}x+\frac{12}{11}$  

•  $y=13x-11$  

•  $y=-\frac{13}{11}x-\frac{12}{11}$  

•  $y=x+1$  

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope and y-intercept for the equation below.

 $y=-3x+2$  

• Slope = -3,

   y-intercept = 2

• Slope = 2,

   y-intercept = -3

• Slope = 3,

   y-intercept = -2

• Slope = 2,

   y-intercept = -3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3