Graphing 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

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you identify the y-intercept from the slope-intercept form?

Back

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

Front

What is the slope of the line represented by the equation y = 1/3x - 2?

Back

The slope is 1/3.

Front

What is the y-intercept of the line represented by the equation y = 1/3x - 2?

Back

The y-intercept is -2.

Front

If the slope is -2, what is the rise/run?

Back

The rise/run is -2/1.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula (y2 - y1) / (x2 - x1).

Front

Find the slope between the points (4, 2) and (3, 8).

Back

The slope is -6.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.