[C] Drawing Slope Triangles

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you calculate the slope using two points?

Back

To calculate 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as the run increases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the run is 0, leading to division by zero.

Front

How do you find the slope using rise/run?

Back

To find the slope using rise/run, determine the vertical change (rise) and the horizontal change (run) between two points, then divide rise by run.

Front

What is the slope of the line through points (1, 5) and (2, 8)?

Back

The slope is 3, calculated as (8 - 5) / (2 - 1) = 3.

Front

What is the slope of the line through points (3, 2) and (3, 5)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

If a line has a slope of -5/3, what does this mean?

Back

A slope of -5/3 means that for every 3 units you move to the right (run), the line moves down 5 units (rise).