Slope Practice

Front

What is the formula to calculate the slope (m) between 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 the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope using rise/run?

Back

The slope can be found by dividing the rise (change in y) by the run (change in x): slope = rise/run.

Front

If a line has a slope of 3, what does this mean in terms of rise and run?

Back

A slope of 3 means that for every 1 unit you move to the right (run), the line rises 3 units (rise).

Front

What is the slope of the line that passes through the points (1, 2) and (4, 5)?

Back

The slope is (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

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

Back

The slope is (-5 - 3) / (-3 - 2) = -8 / -5 = 8/5.

Front

What is the y-intercept of the line represented by the equation y = -2x + 1/2?

Back

The y-intercept is 1/2.