Slope and Slope Intercept

Front

What does the 'm' represent in the slope-intercept form of a linear equation (y=mx+b)?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the slope-intercept form of a linear equation (y=mx+b)?

Back

The 'b' represents the y-intercept of the line.

Front

How do you determine the slope of a line from a graph?

Back

The slope is determined by the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope (m) is positive, what does that indicate about the line's direction?

Back

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

Front

If the slope (m) is negative, what does that indicate about the line's direction?

Back

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

Front

How can you convert the equation of a line from standard form (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

To convert, solve for y to isolate it on one side of the equation.

Front

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

Back

The y-intercept is 5.

Front

What is the slope of the equation y = -3x + 4?

Back

The slope is -3.