What is slope?

What is the formula for slope?

How do calculate the change in y and the change in x?

How do you find slope?

To see if the line has a positive or negative* slope* move from left to right to see if the *line* is going upward or downward.

Hi welcome to MooMooMath. Today we are going to look at slope of a line. Let’s first look at some basic guidelines for slopes. This first line (line M) has a positive slope. How do we know that? As we are going up left to right the line is going upward. Let’s look at the second line. We will call it line N Line N has a negative slope because as you go from left to right it slopes downward. Think of this as reading. As you move from left to right the line will either be going up (positive slope) or downward (negative slope) Now to define the slope it is fairly simple. What you will do is count our rise which is our change in our Y direction or the Y axis over the change in X which is a left or a right count. So I’m going to choose any two points on the line (they can be any two points) and count from one point to another in a right triangle form. So I will count how many units I go up and how many units do I go over. So I will count up three so my rise is positive 3 units and our run (x direction) is one unit. So if I put that together I will have a rise of three over a run of 1 so my line will have a slope of positive 3 so now let’s look at the slope of our second line. (Line N) So this time I actually go down one so it is negative 1 for the rise and I will count over 1,2,3,4 for the run so my slope will be negative 1 over 4 is negative one fourth. I usually go up or down first and then always run my x direction in a positive direction. Hope this video was helpful.

A rise of 3 over a run of 1 = +3

A rise of -1 over a run of 4 = negative 1/4

change in x-value

If you were walking up a hill how could you describe the steepness of the hill or if you were walking up the hill or down the hill?

Slope is a number used in Math to describe how steep a line is and if the line is going uphill or downhill.

The letter **m** is used to represent slope.

Run

Find the *slope of a line* passing through points (5,4) and (9,2)

What is the slope of a ramp that is 30 units tall and 360 units long?

The rise is 30 units and the run equals 360 units.

360 12

You will see this format describing the slope of a ramp as a ratio

Ratio: 1:12 (rise of 1 over run of 12) or 1:16 (rise of 1 over run of 16)

When you see the ratio 1:12, that means for every inches the ramp rises the horizontal length must be 12 inches long. Likewise, a 1:16 ratio is a shallower ramp that requires a 16 inch horizontal distance for every 1 inch rise.

How do you find the slope of a ramp?

What does a 1 to 16 and a 1 to 12 ratio ratio look like?

How do figure out the length of a ramp?

If a ramp has a ratio of 1 to 12 and is 30 inches tall how long should the ramp be?