Unit 3.D CW (Part 2): Graphing in Slope-Intercept Form

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 = 1/3x - 2?

Back

The slope (m) is 1/3.

Front

What does the y-intercept represent in a graph?

Back

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

Front

How can you convert the equation 5x - 3y = 15 to slope-intercept form?

Back

To convert, solve for y: 3y = 5x - 15, then y = (5/3)x - 5.

Front

What is the y-intercept of the equation y = (5/3)x - 5?

Back

The y-intercept is (0, -5).

Front

What is the significance of the ordered pair (0, 4) in graphing?

Back

(0, 4) represents a y-intercept, indicating the point where the graph crosses the y-axis.

Front

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

Back

Rearrange to slope-intercept form: y = -x + 2, where the slope is -1 and the y-intercept is 2.

Front

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

Back

The slope (m) is -1.

Front

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

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

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

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.