Finding Slope from Table and Points

Front

What is the slope of a line in the y = mx form?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

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

Back

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

Front

What does the term 'y-intercept' mean in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0. It is where the line crosses the y-axis.

Front

Given the points (3, 5) and (12, 20), how do you find the slope?

Back

Slope (m) = (20 - 5) / (12 - 3) = 15 / 9 = 5/3.

Front

What is the formula to convert a slope into a fraction?

Back

If the slope is given as a decimal, convert it to a fraction by expressing it as a ratio of two integers.

Front

How can you identify a positive slope from a graph?

Back

A positive slope rises from left to right, indicating that as x increases, y also increases.

Front

How can you identify a negative slope from a graph?

Back

A negative slope falls from left to right, indicating that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no change in x.

Front

If the slope of a line is 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.