3 forms of a linear equation

Which equation is written in Standard Form?

• ax + by = c

• -ax + by = c

• $\left(y-y_1\right)=m\left(x-x_1\right)$

• $y=mx\ +\ b$

Which equation is written in point-slope form? 

•  $\left(y_1-y\right)\ =\ m\ \left(x_1\ -\ x\right)$  

•  $\left(y\ -\ y_1\right)=\ m\ \left(x-x_1\right)$  

•  $\left(x\ -\ x_1\right)\ =\ m\ \left(y-y_1\right)$  

•  $\left(x_1-x\right)=m\ \left(y-y_1\right)$  

Convert the following equation to standard form

y = 4x + 7

• -4x + y = 7

• 4x - y = -7

• -y + 4x = -7

• y - 4x = 7

Find the slope of the line.

• -2
• 2
• -1
• 1

Tags

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Find the slope of the line.

• 1/4
• -1/4
• -4
• 4

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Find the slope of the line.

• Undefined
• 0
• 1
• -1

Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

What is the rate of change?

• 1/2
• 2
• 7
• 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

What is the rate of change?

• 5
• 1/5
• 15
• 10

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

For the equation
y - 3 = 2(x + 4),
which of the following is true?

• The line has m = 2 passing through the point (4, -3)
• The line has m = 2 passing through the point (3, -4)
• The line has m = 2 passing through the point (-4, 3)
• The line has m = 2 passing through the point (-3, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

Which equation represents the characteristics? 
slope: 5    goes through the point (-1, 4)

• y - 4 = 5 (x - 1)
• y + 1 = 5(x - 4)
• y - 4 = 5(x + 1)
• y + 4 = 5(x + 1)