Graphing Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you find the slope from two points?

Back

To find the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where the x-value remains constant, leading to a division by zero in the slope formula.

Front

How do you write the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the slope-intercept equation.

Front

How can you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope (rise/run) and the y-intercept, then use the slope-intercept form y = mx + b.

Front

What is the slope of the line represented by the equation y = 3/5x - 1?

Back

The slope of the line is 3/5.