GRAPHING LINES IN 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 (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, which occurs when x = 0.

Front

If the equation of a line is y = 4x + 3, what is the slope?

Back

The slope is 4.

Front

If the equation of a line is y = 4x + 3, what is the y-intercept?

Back

The y-intercept is (0, 3).

Front

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

Back

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

Front

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

Back

The slope is -2.

Front

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

Back

The y-intercept is (0, 5).

Front

How do you graph a line given its slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to plot another point.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.