8AC CA #1 Review

Front

Does the equation show a proportional relationship?

Back

A proportional relationship is one where the ratio between two variables is constant. If the equation does not maintain a constant ratio, it is not proportional.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

Find the slope from the table: (Example: x: 1, 2, 3; y: 3, 5, 7)

Back

The slope is 2, calculated as (7-3)/(3-1) = 4/2 = 2.

Front

Write the equation of the line through the points (4, 5) and (12, 9).

Back

The equation is y = 1/2x + 3, derived from the slope and y-intercept.

Front

Is this table a function or not a function? (Example: x: 1, 2, 2; y: 3, 4, 5)

Back

Not a Function, because the input '2' corresponds to two different outputs.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship means that the graph of the relationship forms a straight line.

Front

How do you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the formula for finding the slope between two points?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.