Identifying y-intercept

Front

What is the definition of the y-intercept in a linear equation?

Back

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

Front

How can you find the y-intercept from a linear equation in slope-intercept form?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x - 2?

Back

The y-intercept is -2.

Front

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

Back

The y-intercept is 2.

Front

How do you determine the slope of a line from its equation?

Back

The slope of a line in the equation y = mx + b is represented by the coefficient m.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

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 a positive slope indicate about the direction of a line?

Back

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

Front

What does a negative slope indicate about the direction of a line?

Back

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

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run (change in y over change in x).