Step-by-step explanation:
Hey there!!
We simply use double point formula for the equation of a st.line passing through two points.
So, the points are, (3,6) and (8,18).
Now, using two point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1) [/tex]
Put all values,
[tex](y - 6) = \frac{18 - 6}{8 - 3} (x - 3)[/tex]
Simplify them.
[tex](y - 6) = \frac{12 }{5} (x - 3)[/tex]
[tex]5(y - 6) = 12(x - 3)[/tex]
[tex]5y - 30 = 12x - 36[/tex]
[tex]12x - 5y - 6 = 0[/tex]
Therefore the equation is 12x-5y-6=0.
Hope it helps....
