Identifying Linear vs Nonlinear Functions from Tables

What does the slope of a line represent?

• The change in Y over the change in X

• The change in X over the change in Y

• The constant value of Y

• The constant value of X

If the slope of a line is constant, what type of function is it?

• Nonlinear

• Quadratic

• Linear

• Exponential

How do you calculate the slope of a line?

• Divide the change in Y by the change in X

• Multiply the change in Y by the change in X

• Divide the change in X by the change in Y

• Subtract the change in X from the change in Y

What is the equation of a line in slope-intercept form?

• Y = MX + B

• Y = B + MX

• X = B + MY

• X = MY + B

If the slope of a line is 2 and a point on the line is (3, 5), what is the y-intercept?

• 3

• 2

• 1

• -1

How can you determine if a function is nonlinear?

• The slope is constant

• The X values are constant

• The slope changes

• The Y values are constant

In a nonlinear function, what happens to the slope?

• It becomes infinite

• It becomes zero

• It changes

• It remains constant

What is the slope of a line if the change in Y is 6 and the change in X is 1?

• 6

• 1

• 3

• 0.5

If a line has a slope of 1/3 and passes through the point (0, 2), what is its equation?

• Y = 2X - 1/3

• Y = 2X + 1/3

• Y = 1/3X + 2

• Y = 1/3X - 2

What is the y-intercept of a line that passes through the point (0, 2) with a slope of 1/3?

• 2

• 3

• 1

• 0