Find slope

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does it mean if the slope is undefined?

Back

The slope is undefined when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you find the slope from the equation of a line in slope-intercept form (y = mx + b)?

Back

The slope (m) is the coefficient of x in the equation.

Front

Find the slope of the line represented by the equation 3x + 2y = 6.

Back

Rearranging to slope-intercept form gives y = -3/2x + 3, so the slope is -3/2.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope is 4.

Front

Find the slope of the line represented by the equation y - 2 = 5(x - 1).

Back

The slope is 5.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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