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 calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent?

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 the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis (when x = 0).

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

If the slope is positive, what does that indicate about the line?

Back

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

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope (m) is 3.

Front

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

Back

The y-intercept (b) is 5.

Front

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

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope (m) is -1/2.