Identifying Slope and Y-Intercept

Front

What is the definition of the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, b) in the equation of a line y = mx + b.

Front

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

Back

In the equation y = mx + b, the y-intercept is the value of b.

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction, calculated as the change in y over the change in x (rise/run).

Front

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

Back

In the equation y = mx + b, the slope is the coefficient m.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

What is the y-intercept of the equation y = 5x - 3?

Back

The y-intercept is -3.

Front

What is the y-intercept of the equation y = 0.5x + 1?

Back

The y-intercept is 1.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.