Graphing Lines (slope-intercept)

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

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical and cannot be expressed as a ratio of rise to run.

Front

If a line has a slope of 2, what does this mean in terms of rise and run?

Back

A slope of 2 means that for every 1 unit you move to the right (run), the line rises 2 units (rise).

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 y-intercept from the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0 in the equation y = mx + b.

Front

What is the slope of the line passing through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.