Question

I need to write an equation for y = mx + b, The numbers i have are 20-80 and 1-4

Answer 1

y = 20x

m = 20 and b = 0

Explanation:

For input values of x = 1, output value of y = 20 and for x = 4, y = 80.

Therefore, the equation of this relation can be written as

`(y - 80)/(80 - 20) = (x - 4)/(4 - 1)`

⇒ 3(y - 80) = 60(x - 4)

⇒ 3y - 240 = 60x - 240

⇒ y = 20x

Now, y = mx + b is the equation and hence, m = 20 and b = 0 and the actual equation is y = 20x. (Answer)