Question

How to write an equation of the line below?

Answer 1

Answer: y=x+3

Explanation:

`\displaystyle\\(0,3)\ \ \ \ (-8,-5)\\\boxed {(x-x_1)/(x_2-x_1)=(y-y_1)/(y_2-y_1) }\\\\x_1=0\ \ \ \ x_2=-8\ \ \ \ \ y_1=3\ \ \ \ \ y_2=-5\\Hence,\\(x-0)/(-8-0)=(y-3)/(-5-3)\\\\ (x)/(-8)=(y-3)/(-8)`

Multiply both parts of the equation by -8:

`x=y-3\\x+3=y-3+3\\x+3=y\\Thus,\ y=x+3`