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

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

How do you find the y-intercept from the equation y = 1/3x - 2?

Back

The y-intercept is -2, which means the line crosses the y-axis at (0, -2).

Front

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

Back

The slope is 2.

Front

If a line has a positive slope, what does that indicate about the line's direction?

Back

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

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

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

Front

What is the first step in graphing a line in slope-intercept form?

Back

The first step is to plot the y-intercept on the graph.

Front

After plotting the y-intercept, how do you use the slope to graph the line?

Back

From the y-intercept, use the slope to rise (up or down) and run (left or right) to find another point.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line.