Question

What are the slope and y-intercept of the line?

Answer 1

slope = -170. y-intercept = 1020

Explanation:

Let
`P_1(0, 1020)` and
`P_2(6, 0).` The slope can be calculated as

`m = (0 - 1020)/(6 - 0) = -170\:\text{m/hr}`

So the equation can be written as

`y = -170x + b`

To solve for b, let's use the values for P2:

`0 = -170(6) + b \Rightarrow b = 1020`

Therefore,

`y = -170x + 1020`

To find the y-intercept, let x = 0. then the y-intercept is

`y = -170(0) + 1020`

or

`(0, 1020).`