Graphing Slope-Intercept Form

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

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

If the slope of a line is 0, what does this mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall as x changes.

Front

What is the slope of the line represented by the equation y = -5x + 2?

Back

The slope of the line is -5.

Front

How do you graph the equation y = 1/2x + 4?

Back

Start at the y-intercept (0, 4) and use the slope (1/2) to rise 1 unit and run 2 units to the right.

Front

What is the rise/run for a slope of -3?

Back

The rise/run for a slope of -3 is -3/1.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope, meaning it does not have a rise/run ratio.