Question

Very lost please help quick

Answer 1

Equation of line: y =
`(2)/(5)x`

Explanation:

So we have to calculate the slope. The formula is
`(y_(2)-y_(1)  )/(x_(2)-x_(1)  )`

Slope =
`(300-200)/(750-500)` =
`(100)/(250)` =
`(10)/(25)` =
`(2)/(5)`

We then need to calculate the Y-intercept.

The formula is
`y - y_(1) = m(x - x_(1) )`

y - 200 =
`(2)/(5)`(x - 500)

y - 200 =
`(2)/(5)`x - 200

Add 200 to both sides

y =
`(2)/(5)x`

There y-intercept is 0 which is the origin (0,0)