Graphing linear equations

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (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.

Front

What is the y-intercept of a line?

Back

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

Front

How do you determine the x-intercept of a line?

Back

Set y = 0 in the equation and solve for x.

Front

What is the standard form of a linear equation?

Back

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

Front

What does it mean if a line has a positive slope?

Back

The line rises from left to right.

Front

What does it mean if a line has a negative slope?

Back

The line falls from left to right.

Front

How can you graph the equation y = mx + b?

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

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

Back

The slope is -2.