Slope and Y-Intercept

Front

What is the simple definition of slope?

Back

Slope is defined as the ratio of the rise (change in y) to the run (change in x), often expressed as rise/run.

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change, indicating how much one quantity changes in relation to another.

Front

What is the slope of a line that rises 5 units for every 1 unit it runs?

Back

The slope is 5.

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line y = 2x + 4?

Back

The slope is 2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates a vertical line.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.