M3 Supp Final Review

What is a direct proportion?

• A relationship between two numbers that increase or decrease together

• When one quantity increases the other decreases

• When one quantity decreases the other increases

• When two numbers change at a constant rate together

Answer explanation

A direct proportion means that as one quantity increases, the other also increases, or as one decreases, the other decreases. This is accurately described by the first choice, highlighting their simultaneous change.

The graph of a direct proportion is always:

• A parabola

• A hyperbola

• A horizontal line

• A straight line through the origin

Answer explanation

The graph of a direct proportion shows a constant ratio between two variables, resulting in a straight line through the origin. This means as one variable increases, the other increases proportionally.

Which of the following equations represents a direct proportion?

• y=kx

• y=kx+b

• y=k+x

Answer explanation

The equation y=kx represents a direct proportion because y is directly proportional to x, meaning as x increases, y increases at a constant rate. The other equations involve powers or additions, which do not represent direct proportionality.

What is the equation of slope-intercept?

• y=mx+b

• y=c

• y=2x

• y=kx

Answer explanation

The slope-intercept form of a linear equation is given by y=mx+c, where m represents the slope and c is the y-intercept. This is the correct choice, as the other options do not represent the slope-intercept form.

What is an inverse proportion?

• When one quantity increases, the other also increases

• When one quantity decreases, the other increases

• When both quantities decrease together

• When both quantities remain constant

Answer explanation

Inverse proportion means that when one quantity decreases, the other increases. This is the correct choice, as it describes the relationship where one variable's change inversely affects the other.

Which graph shows an inverse proportion?

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Which graph shows a direct proportion?

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Which graph shows an indirect proportion?

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Which of the following equations represents an inverse proportion?

• y=kx

• y=x

• y=k+x

Answer explanation

The equation y=k/x represents an inverse proportion, where y decreases as x increases, maintaining a constant product (k). The other options either represent direct relationships or linear equations.

What does the slope of a line represent?

• Rise over run, the number of movements along the y-axis over the x-axis

• The x-intercept

• The y-intercept

Answer explanation

The slope of a line is defined as 'rise over run', which represents the change in the y-axis (rise) for a given change in the x-axis (run). This means it measures how steep the line is.