Slope From Graph & Points

Front

What is the definition of slope in a graph?

Back

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

Front

How do you calculate 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 a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

If a line has a slope of 3/2, what does this mean in terms of rise and run?

Back

A slope of 3/2 means that for every 2 units you move horizontally (run), the line rises 3 units vertically (rise).

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope of a line that goes up from left to right is positive.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (vertical change) and run (horizontal change), 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 of the line is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (6 - 2) / (3 - 1) = 4/2 = 2.