STAAR Review - Linear Relationships

Linear Equations STAAR Review

Objective

8.4C

use data from a table or graph to determine the rate of change or slope and y‐intercept in mathematical and real‐world problems

Multiple Choice

In the equation y=mx+b , what does the m represent?

• Slope

• Y-Intercept

• Linear

• X-Intercept

Multiple Choice

In the equation y=mx+b , what does the b represent?

• X-Intercept

• Y-Intercept

• Linear

• Slope

Multiple Choice

What is the y-intercept of the line with the equation y = −2x + 4  ?

• -2

• 2

• 4

• -4

Multiple Choice

What is the slope in the equation y=2x+3 ?

• 2

• 3

• 5

• 2x

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6

• y=3x-6

• y=3x+6

• y=6x+3

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

• y=3/2x+3

• y=2/3-3

• y=2/3x-3

Multiple Choice

What is the y-intercept of a line representing a PROPORTIONAL relationship?

• (1,1)

• (0,0)

• 1,0)

• (0,1)

y = mx + b

​

• Step #1: Solve for m (slope)

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

• Step #2: Solve for b​ (y-intercept)

​

Writing a Linear Equation from a Table

​

​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

y = mx + b

​

• 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

​

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

​

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

Multiple Choice

What is the slope-intercept form of the equation of the line.

• y=3x+4

• y=3x-4

• y=1/3 x+4

• y=1/3 x-4