8H Unit 5 Graphing Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

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

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

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 significance of a zero slope?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

How can you determine if a slope is positive or negative?

Back

A positive slope means the line rises from left to right, while a negative slope means the line falls from left to right.

Front

What is the formula for calculating the slope between two points?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 3/2 and a y-intercept of 3?

Back

The equation is y = (3/2)x + 3.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert, solve for y in terms of x, rearranging the equation to the form y = mx + b.