Slope-Intercept Form

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

How do you identify the slope from the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value b in the equation y = mx + b.

Front

If the equation of a line is y = 2x + 5, what is the slope?

Back

The slope is 2.

Front

If the equation of a line is y = -3x + 1, what is the y-intercept?

Back

The y-intercept is (0, 1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

How can you determine if a slope is zero?

Back

A slope is zero if the line is horizontal, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the equation y = -1/2x + 4, what is the y-intercept?

Back

The y-intercept is (0, 4).