Question

I need help on this. I need a really good explanation on how you got it.

Answer 1

y =
`(1)/(7)` x + 30

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 30) and (x₂, y₂ ) = (70, 40) ← 2 points on the line

m =
`(40-30)/(70-0)` =
`(10)/(70)` =
`(1)/(7)`

The line crosses the y- axis at (0, 30) ⇒ c = 30

y =
`(1)/(7)` x + 30 ← equation of line