Finding Slope from a graph or two points

Front

What is the formula to calculate the slope of a line given 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.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula: slope = rise/run.

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

If the coordinates of two points are (2, 3) and (5, 7), what is the slope?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2.

Front

If a line has a slope of -1, what does this tell you about the angle of the line?

Back

A slope of -1 indicates that the line descends at a 45-degree angle.

Front

How can you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.