Question

Find the equation in slope intercept form passing through the points (7.2, 3.8) and (9.1, 9.1).

Answer 1

y=2.789x-16.284

Answer 2

First calculate the slope of the line using the two given points:\[m=\Delta y/\Delta x=(9.1-3.8)/(9.1-7.2)=2.8\]If (x,y) is any other point on the line we can write:\[y-9.1=2.8(x-9.1)\]Solving and putting in the form y-mx+b we get:\[y=2.8(x-9.1)+9.1=2.8x-16.4\]