Day 73: Warmup 8.PFA.3 slope and y=mx+b

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

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 is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope of the line is 3/2.

Front

If a line has a slope of -1, what does this tell you about the line's direction?

Back

A slope of -1 indicates that the line descends at a 45-degree angle from left to right.