Question

If (0, 32) and (100, 212) are
points on a line, what is the
equation of the line that goes
through both of these points?
Name the purpose of this
equation for temperature.

Answer 1

The two points we have are (32, 0) and (212, 100) on the horizontal axis and Celsius on the vertical axis. With this we get C −0 = 100 − 0/212 − 32(F −32),

i.e. C =5/9(F − 32)  as an equation that takes Fahreneht temperatures as input F and outputs Celsius

temperatures C.

Answer 2

The equation of line that goes through two given points (x1 , x2) & (y1,y2)

is given by

$y - y_{1} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} (x-x_1)$

So the equation will be

y-32 =(212-32)/(100-0) (x-0)

y-32=180x/100

y-32=1.8x

y-1.8x=32

This equation can be used for Linear variations