Unit 3 Graphing and Slope Review

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 find the slope of a line?

Back

The slope is found using the formula: slope = rise/run, which represents the change in y over the change in 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

If the slope of a line is 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

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

Back

The slope is calculated using the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 5x - 7?

Back

The y-intercept is -7, represented as the point (0, -7).

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run between them.