Slope and Y-Intercept

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) in the equation of a line, where b is the y-intercept value.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 4?

Back

The y-intercept is (0, 4).

Front

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

Back

The equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x - 7?

Back

The slope of the line is 3.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line is decreasing; as x increases, y decreases.

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.