Question 343187
We first need to find the slope.


Let m = slope



m = (9 - 5)/(9 - 3)



m = 4/6



m = 2/3



The slope of the equation we are looking for is 2/3.



We now plug one of the points given (your choice which point to use) and the slope into the point-slope formula and solve for y.


y - y1 = m(x - x1)....This is the point-slope formula found in most math books.



I will use the point (3,5) but you can use the other point if you'd like.



y - 5 = 2/3(x - 3)



y - 5 = (2/3)x - 2



y = (2/3)x - 2 + 5



y = (2/3)x + 3



Understand?