Graphing Linear Equations

Front

What is the y-intercept of a line?

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 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 from two points (x1, y1) and (x2, y2)?

Back

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

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

If the slope of a line is 2/3 and the y-intercept is -3, what is the equation of the line?

Back

y = 2/3x - 3.

Front

What is the slope of the line represented by the equation y = -5/3x + 2?

Back

The slope is -5/3.

Front

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

Back

The y-intercept is 1.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = mx + b.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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