A16 (GEN) - 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 the equation y = mx + b?

Back

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

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

How do you find the y-intercept from a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The first step is to plot the y-intercept (b) on the y-axis.

Front

After plotting the y-intercept, what is the next step in graphing?

Back

The next step is to use the slope (m) to determine the rise over run from the y-intercept.

Front

If the slope is positive, what direction does the line go?

Back

If the slope is positive, the line rises from left to right.

Front

If the slope is negative, what direction does the line go?

Back

If the slope is negative, the line falls from left to right.

Front

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

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

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