7XL Finding Slope given two points or a table

Front

What is the formula to 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

Given the points (1, 2) and (4, 6), what is the slope?

Back

The slope is (6 - 2) / (4 - 1) = 4 / 3.

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

If the slope of a line is zero, what does this mean about the line?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

If the slope is undefined, what does this indicate about the line?

Back

An undefined slope indicates a vertical line, where x does not change and y can take any value.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the slope formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is 2, which is the coefficient of x in the equation.

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 (change in y) and run (change in x), and use the formula m = rise/run.

Front

What is the slope between the points (3, 4) and (7, 8)?

Back

The slope is (8 - 4) / (7 - 3) = 4 / 4 = 1.