Unit 5 & 6 Flashcard

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the vertical change (rise) and the horizontal change (run), and then dividing rise by run.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

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, y).

Front

How can you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, the value of b is the y-intercept.

Front

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

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a constant.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and is represented by an equation of the form y = a constant.

Front

How do you write an equation for a linear relationship?

Back

To write an equation for a linear relationship, identify the slope and y-intercept, then use the slope-intercept form y = mx + b.