Graphing Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = 3x + 2?

Back

The slope (m) is 3.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

If a line has a slope of 0, what does it look like on a graph?

Back

A line with a slope of 0 is horizontal.

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 2, what is the rise/run?

Back

The rise/run is 2/1.

Front

What is the y-intercept of the line represented by the equation y = -4x + 5?

Back

The y-intercept is (0, 5).

Front

How do you graph a line using the slope-intercept form?

Back

Start by plotting the y-intercept (0, b), then use the slope (rise/run) to find another point.