Question

Which equation has a graph that passes through the points at (0,5) and (-3,-4)?

Answer 1

`y = 3x + 5`

Explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).

Now, we know that the equation of a straight line passing through the points (
`x_(1),y_(1)`) and (
`x_(2),y_(2)`) is given by

`(y - y_(1))/(y_(1) - y_(2)) = (x - x_(1))/(x_(1) - x_(2))`.

So, in our case (
`x_(1),y_(1)`) ≡ (0,5) and (
`x_(2),y_(2)`) ≡ (-3,-4)

Therefore, the equation of the straight line will be

`(y - 5)/(5 - (- 4)) = (x - 0)/(0 - (- 3))`

⇒
`y - 5 = (9)/(3)x`

⇒
`y = 3x + 5` (Answer)