Study Guide - Finding Slope

Front

What is the definition of slope?

Back

The slope (m) of a line is a measure of its steepness, calculated as the change in y (vertical) divided by the change in x (horizontal).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

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?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 3, what does this mean?

Back

For every 1 unit increase in x, y increases by 3 units.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If m = 2 and b = 5, what is the equation of the line in slope-intercept form?

Back

y = 2x + 5.

Front

How do you find the slope from a graph?

Back

Choose two points on the line, determine their coordinates, and use the slope formula (y2 - y1) / (x2 - x1).