Slope & Slope-Intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation. It is calculated as the change in y (rise) over the change in x (run).

Front

How do you find 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

What does an undefined slope indicate?

Back

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

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, where there is no change in y as x changes.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = 2x + 3?

Back

In the equation y = 2x + 3, the slope (m) is 2.

Front

What is the y-intercept in the equation y = -3/2x + 4?

Back

The y-intercept (b) in the equation y = -3/2x + 4 is 4.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, substituting the values of m (slope) and b (y-intercept).

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with slope 3 is -1/3.