Review: 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'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of b, where the line crosses the y-axis.

Front

Find the slope and y-intercept of the equation -2x - 3y = -12.

Back

Slope = -2/3, y-intercept = 4.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

Find the slope of the line represented by the equation y = -x + 1.

Back

The slope is -1.