Find Slope using a Graph or Two Points

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 change in y divided by the change in x (rise/run).

Front

How do you find the slope using two points?

Back

To find the slope (m) using 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 does an undefined slope indicate?

Back

An undefined slope occurs when a line is vertical, meaning it has no defined rise over run (e.g., the x-coordinates of the two points are the same).

Front

What is the slope of the line that passes through (10, 1) and (5, 2)?

Back

-1/5

Front

What is the slope of the line that passes through (5, -10) and (5, -4)?

Back

undefined

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is the equation of a line with a slope of ⅔ and a y-intercept of 3?

Back

y = ⅔ x + 3

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as the x-value changes.