Linear Equations from Patterns

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

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 2, and the constant term is 3.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 1, and the constant term is 0.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is -3, and the constant term is 2.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 5, and the constant term is 7.

Identify the pattern in the equation y = -4x + 5.

• The pattern in the equation y = -4x + 5 is that the slope is -4 and the y-intercept is 5.

• The pattern is that the slope is 0 and the y-intercept is 5.

• The pattern is that the slope is 4 and the y-intercept is -5.

• The pattern is that the slope is 5 and the y-intercept is -4.

Identify the pattern in the equation y = 6x + 1.

• The pattern in the equation y = 6x + 1 is that the slope is 1 and the y-intercept is 1.

• The pattern in the equation y = 6x + 1 is that the slope is 6 and the y-intercept is 1.

• The pattern in the equation y = 6x + 1 is that the slope is 6 and the y-intercept is 6.

• The pattern in the equation y = 6x + 1 is that the slope is 1 and the y-intercept is 6.

In the equation y = -7x + 10, what is the slope?

• -7

• 7

• 10

• 0

Which of the following equations represents a linear function?

If a pattern of figures starts with 1 triangle and the number of triangles increases by 3 each time, what is the equation that represents the pattern?

Is the function represented by the equation linear or nonlinear?

• linear

• nonlinear

Is the function represented by the graph linear or nonlinear

• linear

• nonlinear

Which graph is linear?

• A

• B

• C

• D

Determine the equation for a figure pattern that starts with 3 squares and adds 2 squares at each step.