Writing a Linear Function from a Graph

Which information is enough to write an equation for the linear function?

• a. The initial value and the rate of change of the function.

• b. The slope of the line and the rate of change of the function.

• c. The slope of the line and one point on the line that is not the y-intercept.

• d. The y-intercept of the line and the value of the function at x=5.

• e. The y-intercept of the line and the value of the function at x=0.

Answer explanation

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Find the graph for F(x)=  $\frac{3}{4}x-2$  

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 Find the slope and y-intercept $12x+3y=24$ 

• y-intercept= -4 , slope= 8

• y-intercept= 8 , slope= -4

• y-intercept=  24  , slope=  $\frac{1}{4}$  

• y-intercept= 24 , slope= -12

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Find the slope and the y-intercept of the linear function shown below.

• Slope: 5/2,

  y-intercept: -10

• Slope: 1/2,

  y-intercept: -10

• Slope: 1/4,

  y-intercept: 1

• Slope: -5/2,

  y-intercept: -10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which equation best represents the relationship between x and y in the graph?

• y = 3x + 3

• y = 3x = 1

• y = 1/3 x + 3

• y = 1/3 x - 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The graph models the value of a machine over a 10 year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars over this 10 year period?

• y = -0.002x + 2,500

• y = -500x +8,000

• y = 500x +8,000

• y = 0.002x + 2,500

Tags

CCSS.8.EE.B.5

Write the equation of a line that passes through the point (2,-4) and has a slope of 4.

• y=4x +12
• y=-4x-12
• y= 4x - 12
• y= 4x -4

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

• y= 9x-4
• y= 9x-5
• y= 9x+4
• y= 9x+5

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSG.GPE.B.5

Given these two ordered pairs, write the equation.
(2, 8) (3, 12)

• y = 4x + 8
• y = x + 4
• y = 4x + 4
• y = 4x

Tags

CCSS.HSA.CED.A.2

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

• y = 2x + 2
• y = -2x - 2
• y = -2x + 2
• y = 2x - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10