Graphing Linear Functions Review

Front

What is the slope of a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line goes down 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 by the value of y when x=0.

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 m=2 and b=4, what is the equation of the line?

Back

y = 2x + 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line goes up from left to right.

Front

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

Back

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

Front

What is the meaning of the term 'rise' in slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What is the meaning of the term 'run' in slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope means the line is vertical, and there is no change in x (run = 0).