Help me figure out this equations please. I will find the anwer just help me get started.

Question

Here is the questionManchester, Foundry produced 45,000 tons of steal in March  at a cost of 1,150,00 pounds. In April the foundry produced 35000 tons at a cost of 950,000 pounds. Using the two data points determine the cost function for Manchester. That is find an equation with tons as the independent variable and cost as the depenent variable. just help me figure out the equation.

Answer 1

point 1...950,000$/35,000 tons=27.14285 $/ton . . . point 2...1,150,000$/45,000=25.5555$/ton . . . assume strate line...y=mx+b, y=$/ton, x=tons . . . 2 points:(35,000, 27.14285) & (45,000, 25.5555) . . . deltax=45,000 -35,000=10,000 . . . deltay=25.5555 -27.14285=-1.58735 . . . slope=deltay/deltax=-1.58735/10,000=-1.58735*10^-4 . . . tu find b, projekt line tu x=0....from 45,000 tu 0=-45,000 . . . deltay=slope*deltax=(1.58736*10^-4)*(-45,000) . . . =1.58735*(-4.5)=-7.143075 . . . thus, y at x=0 is 35,000 -7.143075=34,993