Math 3 Lessons 2.8 to 2.12 Flashcard 2024

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 ratio of the rise (change in y) over the run (change in x).

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 y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, 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 + 12?

Back

The slope is 3.

Front

What is the y-intercept of the equation y = 3x + 12?

Back

The y-intercept is 12, represented as the point (0, 12).

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = c, where c is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = c, where c is a constant.

Front

How do you determine the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise and run between them, and use the formula m = rise/run.

Front

What is the slope of the line represented by the equation y = -2x + 1?

Back

The slope is -2.