Slope Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

Calculate the slope of the line passing through the points (10, 6) and (4, -2).

Back

Front

Calculate the slope of the line passing through the points (7, 3) and (2, -1).

Back

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

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What does a slope of 1/2 represent in terms of rise over run?

Back

A slope of 1/2 means that for every 2 units you move horizontally (run), you move 1 unit vertically (rise).

Front

What is the solution to the equation 3x + 7 = 2x - 5?

Back

The solution is x = -2.

Front

Find the slope of the line represented by the equation y = 2x + 3.

Back

The slope is 2.