Slope-Intercept Form

Front

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

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 slope-intercept form.

Front

How do you find the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

If the slope of a line is 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant.

Front

Write the equation of a line with a slope of -2 and a y-intercept of 4.

Back

The equation is y = -2x + 4.