Linear Equations STAAR Review

Linear Equations STAAR Review

By Rachel Pickett

Objective

7.7A

I can represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx +b.

y = mx + b

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• Step #1: Solve for m (slope)

m = Δ​y / Δ​x (change in y / change in x)

• Step #2: Solve for b​ (y-intercept)

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Writing a Linear Equation from a Table

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​y = mx +b

Multiple Choice

Which equation represents this table?

• y = 7x +4

• y = 11x

• y = 4x + 7

• y = 4x

Multiple Choice

Which equation represents this table?

• y = 2x - 5

• y = x

• y = x - 3

• y = 0.5x + 1

Multiple Choice

Which equation represents this table?

• y = 3 x + 3

• y = 2x + 3

• y = 3x - 3

• y = 2x -3

Multiple Choice

Which equation represents this table?

• y = 2x + 7

• y = 3x + 3

• y = 7x + 2

• y = 4x - 1

Multiple Choice

Which table contains only values that satisfy the equation y = 0.5x + 14?

y = mx + b

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• Step #1: Identify the y intercept (b)

• Step #2: Solve for the slope (m)

  • Pick to coordinates on the line ​and find the change in y / change in x

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Remember if the line is going DOWN the slope is NEGATVIE. If the line is going UP the slope is POSITIVE.

Writing a Linear Equation from a Graph

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Multiple Choice

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

• y = 3x + 3

• y = 3x - 1

• y = 1/3x + 3

• y = 1/3x - 1

Multiple Choice

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

• y = -3x + 1/3

• y = 1/3x + 3

• y = 1/3x + 3

• y = 3x - 9

Multiple Choice

Which of the graphs represent y = 2x - 4?

Multiple Choice

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

• y = x + 3

• y = x -3

• y = -x + 3

• y = -x - 3