Class Slope Review: Graph, table, two points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if the slope of a line is undefined?

Back

The line is vertical, meaning it goes straight up and down.

Front

Calculate the slope between the points (2, 3) and (6, 7).

Back

m = (7 - 3) / (6 - 2) = 4/4 = 1

Front

What is the slope of a horizontal line?

Back

The slope is 0.

Front

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

Back

The line descends from left to right.

Front

Determine the slope from the table: x: 1, 2, 3; y: 2, 4, 6.

Back

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

Front

What is the slope of the line that passes through the points (5, -10) and (5, -4)?

Back

The slope is undefined.

Front

If the slope of a line is 3/5, what does this mean in terms of rise over run?

Back

For every 5 units you move to the right (run), you move up 3 units (rise).

Front

Calculate the slope of the line that passes through the points (1, 2) and (4, 5).

Back

m = (5 - 2) / (4 - 1) = 3/3 = 1

Front

What is the slope of a line that rises 4 units and runs 2 units?

Back

Slope = 4/2 = 2.