Slope and y-intercept 24.25

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line. It is calculated as the rise (change in y) over the run (change in x).

Front

What is the y-intercept of a line?

Back

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

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (difference in y-coordinates) and the run (difference in x-coordinates), and divide rise by run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

The slope of the line is 2.

Front

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

Back

The y-intercept of the line is (0, 4).

Front

How do you graph the equation x = 1?

Back

To graph the equation x = 1, draw a vertical line that crosses the x-axis at 1.

Front

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

Back

The slope of the line is -3.