Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 = 3x + 5?

Back

The slope is 3, which indicates that for every 1 unit increase in x, y increases by 3 units.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

How do you find the slope between two points (2, 3) and (4, 7)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it has no horizontal change.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every 1 unit increase in x, y also increases by 1 unit, resulting in a 45-degree angle.