Given that,
Points are (0,6) an (-5,2).
To find,
The equation of line that passes through the given points.
Solution,
We have, x₁ = 0, x₂ = -5, y₁ = 6 and y₂ =2
The equation of line can be calculated as :
[tex]y-y_1=m(x-x_1)\\\\y-6=\dfrac{2-6}{-5-0}(x-0)\\\\y-6=\dfrac{-4}{-5}x\\\\y-6=\dfrac{4}{5}x\\\\5y-30=4x\\\\5y-4x=30[/tex]
So, the required equation is 5y-4x=30.
