Equations of Linear Functions

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

If a line has a slope of 3 and a y-intercept of 5, what is the equation of the line?

Back

y = 3x + 5

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is a y-intercept?

Back

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

Front

Which of the following is a linear function: y = 2x + 3 or y = x^2 + 1?

Back

y = 2x + 3 is a linear function; y = x^2 + 1 is nonlinear.

Front

What is the equation that represents Valaray's earnings based on her hourly wage?

Back

m = 15.50h + 127

Front

How can you determine if a function is linear?

Back

A function is linear if it can be written in the form y = mx + b, where m and b are constants.

Front

Identify the nonlinear function from the following: y = 2x^3 - x^2 + 5, y = 5x - 19.

Back

y = 2x^3 - x^2 + 5 is nonlinear.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

If the equation of a line is y = -x - 3, what is the slope?

Back

The slope is -1.