Slope from a Graph, Table & Two Points Practice

Front

What is the slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

Front

What does a positive slope indicate about a line?

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

What does a negative slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change is 0, leading to division by zero.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

Front

Find the slope of the line represented by the equation y = 3x + 1.

Back

The slope (m) is 3, which is the coefficient of x in the equation.

Front

If the slope of a line is 1/2, what does this mean in terms of rise over run?

Back

It means for every 2 units you move horizontally (run), the line rises 1 unit (rise).

Front

What is the slope of the line represented by the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.