Two ordered pairs are (2,4) and (8,16). When answering the following questions, remember that you can choose which pair you want to be point 1 and point 2.

Question

 

1. Two ordered pairs are (2,4) and (8,16). When answering the following questions, remember that you can choose which pair you want to be point 1 and point 2.
2. What is x1 =
3. What is y1 =
4. What is x2 =
5. What is y2 =
6. What is the slope (m) =

 

1. For the 2 points above, what is the equation of this line in point slope form? Use form:

 y - y1 = m(x - x1) 

1. For the 2 points above, what is the equation of this line in slope intercept form? Use form:

                       y = mx + b 

Answer 1

Hi Artemis!

Let's say (2,4) is point 1 and (8,16) is point 2.

Since ordered pairs are listed as (x, y)

x1 is just the x value of point 1, y1 is the y value of point 1, etc.

x1 = 2

y1 = 4

x2 = 8

y2 = 16

The slope formula for two ordered pairs is (y2 - y1)/(x2 - x1)

If we plug in the above values, we get (16 - 4)/(8 - 2) = (12/6) = 2. So 2 is our slope

If we plug it into point slope form, we get y - 4 = 2(x - 2)

Lastly, solve the point slope form equation to make it look like slope intercept form:

y - 4 = 2(x-2)

y - 4 = 2x - 4

y = 2x - 4 + 4

y = 2x + 0 or just y = 2x