Graphing Linear Equations

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

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

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

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

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

Back

The slope of the line is -3.

Front

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

Back

The slope of the line is -1/3.

Front

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

Back

The slope of the line is 1/4.

Front

How do you graph the equation y = -x + 2?

Back

To graph y = -x + 2, start at the y-intercept (0, 2) and use the slope of -1 to find another point.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases.