Graphing Linear Equations

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 of a line represent?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is -3.

Front

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

Back

The slope is 5.

Front

What type of slope does a line with a positive slope have?

Back

A line with a positive slope rises from left to right.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -5/3, what does this indicate about the line's direction?

Back

It indicates that the line falls as it moves from left to right.