We can write the equation of line in the form
y=mx +b
where m is slope , and b is y intercept
Now the slope formula is
[tex] m= \frac{{(y_{2} - y_{1})}}{{(x_{2} - x_{1})}} [/tex]
let's plug the points in the formula to find slope
m= [tex] \frac{(1.5-0.2)}{(0.5-0.8)} =\frac{1.3}{-0.3}= \frac{-13}{3} [/tex]
So we get equation as
[tex] y=\frac{-13}{3} +b [/tex]
Now we have to find the value of b also
to find the value of b , we can plug any one point
[tex] 0.2 = \frac{-13}{3} (0.8) +b [/tex]
[tex] 0.2= \frac{52}{15} +b [/tex]
[tex] b=\frac{-49}{15} [/tex]
So the equation is
[tex] y=\frac{-13}{3} x - \frac{49}{15} [/tex]
