What is the slope of a line that goes through the points 5 9 and 2 8?

Ok, First you find the gradient using the formula: Y2-Y1/X2-X1

8-9 1

---- which is equal to: --- Which is the gradient (Answer to your question)

2-5 3

So now the equation becomes y=1/3x+c

To find the c (the Y intercept, you substitute one of the points into the equation.

I will use points (2,8)

So: 8=1/3(2)+c

8=2/3+c

c=(2/3)-8

c=-(22/3)

1 22

Therefore the equation of the line is: Y= --- x + - -----

3 3