Positive Slope on a Graph

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

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If a line has a slope of 3/2, what does this mean in terms of rise and run?

Back

For every 2 units the line moves horizontally (run), it moves up 3 units (rise).

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a vertical line is undefined.

Front

Find the slope of the line represented by the equation y = 4x + 1.

Back

The slope is 4.

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 7)?

Back

Slope = (7 - 3) / (5 - 2) = 4 / 3.

Front

If a line has a slope of -2, what does this indicate about the direction of the line?

Back

A slope of -2 indicates that the line falls from left to right.