Graphing Linear Equations

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the slope of the line in the equation y = -2x + 6?

Back

-2

Front

What is the y-intercept of the line in the equation y = -2x + 6?

Back

6

Front

Which form of a linear equation is y = mx + b?

Back

Slope-intercept form.

Front

What does the term 'linear equation' mean?

Back

An equation that makes a straight line when graphed.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does a positive slope indicate about a line?

Back

The line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

The line falls from left to right.