Warmup 12/3

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 equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/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 the y-intercept represent in 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

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

Back

'm' represents the slope of the line.

Front

What is the y-intercept of the line represented by the equation y = 2x + 3?

Back

The y-intercept is (0, 3).

Front

If a line has a slope of -5/3, what does this indicate about its direction?

Back

A slope of -5/3 indicates that the line is decreasing; for every 3 units moved to the right, the line moves down 5 units.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the slope of the line passing through the points (7, 3) and (-3, 0)?

Back

The slope is 3/10.