Answer:
3/1
Step-by-step explanation:
Make sure you know a few concepts first:
- The point where the line crosses the y-axis (or vertical axis) is called the y-intercept.
- Slope is commonly taught using [tex]\frac{rise}{run}[/tex] as I will teach it here.
- First, find the y-intercept of the line. This line crosses the y-axis as (0,0), so that is the y -intercept.
- Find another point on the line, preferably where it crosses a whole-number coordinate (just for simplicity… you can use any point on the line). We will use the point (1,3).
- Counting in your head, count vertically from (0,0) until you are horizontal to the point (1,3) we chose earlier. Put the distance it took to reach that point on the top (numerator) of the fraction. Because it takes 3 counts to be horizontal, your fraction should look like [tex]\frac{3}{run}[/tex].
- Count horizontally until you reach the point (1,3). Put the number of units on the bottom (denominator) of the fraction. The number was 1 unit, so your finished fraction which is the slope is [tex]\frac{3}{1}[/tex].
Alternatively
- Use the formula for slope from two points… [tex]\frac{x_{1} -y_1}{x_2-x_1}[/tex]
- Find two points on the line. We will use (0,0) and (1,3). Designate one point as 1 and the other as 2. We will choose (0,0) to be 1 and (1,3) to be 2.
- Plug in the points following the “key” you created: Let x₁ be the x coordinate from ordered pair 1, let y₁ be the y coordinate point from ordered pair 1, etc.
- Following this pattern, you should be set up like this: [tex]\frac{3-0}{1-0}[/tex]
- Subtract to get [tex]\frac{3}{1}[/tex] as your slope.
