Step-by-step explanation:
Hey there!
We generally use double point formula for the equation of a st.line passing through points.
Here,
(0,-2) and (2,8) are two points.
Using two point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y + 2) = \frac{8 + 2}{2 - 0} (x - 0)[/tex]
Simplify them to get answer.
[tex](y + 2) = 5(x - 0)[/tex]
[tex]y + 2 = 5x[/tex]
[tex]y = 5x - 2[/tex]
Therefore therequired equation is y = 5x-2.
Hope it helps...
