7.3 Practice

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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 slope in the equation y = 4x + 5?

Back

The slope is 4, which indicates the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear function?

Back

The y-intercept is the value of y when x is 0, representing the point where the line crosses the y-axis.

Front

Calculate y when x = 4 in the equation y = 4x + 5.

Back

y = 4(4) + 5 = 16 + 5 = 21.

Front

What is the equation of a line that has a slope of 2 and a y-intercept of 6?

Back

The equation is y = 2x + 6.

Front

If a function is represented by the table, how can you write its equation?

Back

You can identify the slope and y-intercept from the table values and use them to write the equation in the form y = mx + b.

Front

What does it mean if a table is 'not a function'?

Back

It means that at least one input (x-value) corresponds to more than one output (y-value).

Front

Calculate y when x = 4 in the equation y = 2x + 2.

Back

y = 2(4) + 2 = 8 + 2 = 10.

Front

What is the equation of a line with a slope of -3?

Back

The equation can be written as y = -3x + b, where b is the y-intercept.