Graphing slope intercept form

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x does not change, and the slope cannot be calculated.

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, b) in the slope-intercept form.

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 y-intercept of the equation y = 4x + 3?

Back

The y-intercept is (0, 3).

Front

How do you graph the equation y = -3x + 4?

Back

Start at the y-intercept (0, 4) and use the slope of -3 to find another point by going down 3 units and right 1 unit.

Front

What does it mean if a line has no slope?

Back

A line with no slope is horizontal, meaning it does not rise or fall as x changes.