Question

3) What is an equation for the line that passes through the coordinates (-1.2) and (7,6) ?

Answer 1

`y=(1)/(2) x+(5)/(2)`

Explanation:

First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.

`(6-2)/(7- (-1))=(4)/(8)=(1)/(2)`

So now we have the equation
`y=(1)/(2) x+b`, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

`2=(1)/(2)(-1)+b`

Rearrange the equation so it equals b

`(5)/(2)=b`

Put it together and that's the final equation!

`y=(1)/(2) x+(5)/(2)`