Slope - find from a table, graph, 2 points, or equation

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

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, the y value increases by 2 units, making the line steep.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you find the slope from a linear equation in the form y = mx + b?

Back

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

Front

Given the points (3, 4) and (7, 8), what is the slope of the line connecting these points?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line descends from left to right.

Front

If the slope of a line is -3, what does this mean in terms of rise over run?

Back

A slope of -3 means that for every 1 unit increase in x (run), the y value decreases by 3 units (rise).

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 of the line represented by the equation y = 5?

Back

The slope of the line represented by the equation y = 5 is 0, as it is a horizontal line.