Find 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' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the slope from a linear equation in slope-intercept form?

Back

In the slope-intercept form of a linear equation, y = mx + b, the slope 'm' is the coefficient of x.

Front

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

Back

The slope is 2.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero.

Front

Find the slope of the line represented by the equation y - 3x = 1.

Back

Rearranging to slope-intercept form gives y = 3x + 1, so the slope is 3.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

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

Back

The slope is undefined.

Front

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

Back

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

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.