Question

Line has a slope of 2 and includes the points (–1,k) and (0,10). What is the value of k?

Answer 1

k=8

Explanation:

METHOD 1:

1. We will create an equation for slope intercept, y=2x+ 10
2. Then we replace x with -1, y=2(-1)+10
3. Multiply -1 and 2, y=-2+10
4. Combine like terms, so y=8
5. Because y=k, k=8

METHOD 2:

1. We can also use
   `(y_(2)- y_(3) )/(x_(2)- x_(1) ) =2`
2. We replace all values we know, so that we get,
   `(10-k)/(0-(-1))=2`
3. Then we subtract -1 for 0 so we get,
   `(10-k)/(1) =2`
4. Then remove the 1 because anything divided by 1 is the dividend, 10-k=2
5. Subtract two from both sides so 8-k=0
6. add ka on both sides so 8=k