Finding slope with a graph, 2 sets of points and equations

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

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 slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

If a line has a slope of -5/3, what does this tell you about its direction?

Back

A slope of -5/3 indicates that the line descends from left to right, meaning for every 3 units you move to the right, the line moves down 5 units.

Front

What is the slope of a line that rises 4 units for every 3 units it runs to the right?

Back

The slope is 4/3.

Front

If the coordinates of two points are (2, 3) and (5, 6), what is the slope of the line connecting them?

Back

Slope = (6 - 3) / (5 - 2) = 3/3 = 1.

Front

What is the slope of a line represented by the equation y = 2x + 1?

Back

The slope is 2.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a rising line.

Front

What is the slope of a line represented by the equation y = -3x + 4?

Back

The slope is -3.