Question

What is the slope given these two points. Write your equation in slope intercept form. (2,-3) (6,4)

Answer 1

For this case we have the following points:

(2,-3) and (6,4)

We can find the slope on this way:

`m=(y_2-y_1)/(x_2-x_1)=(4+3)/(6-2)=(7)/(4)`

Now we can find the intercept like this:

`-3=(7)/(4)\cdot2+b`
`b=-3-(7)/(2)=-(13)/(2)`

Then the answer is:

`y=(7)/(4)x-(13)/(2)`