Functions, y = mx + b Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How can you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if each input (x-value) is associated with exactly one output (y-value).

Front

Given the equation y = 4x + 7, what is the slope?

Back

The slope (m) is 4.

Front

Given the equation y = 4x + 7, what is the y-intercept?

Back

The y-intercept (b) is 7.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

Front

Is the set of ordered pairs (1, 2), (2, 3), (1, 4) a function?

Back

No, it is not a function because the input '1' is associated with two different outputs (2 and 4).

Front

What is the equation of a line that passes through the points (0, -2) and (3, 4)?

Back

The equation is y = 2/3x - 2.

Front

What is the y-intercept of the line represented by the equation y = -x + 5?

Back

The y-intercept is 5.