Question

Find the equation (in terms of x ) of the line through the points (-5,1) and (4,0)

Answer 1

`y = -(1)/(9)x+(4)/(9)`

Explanation:

y = mx + b

First, we need to find the slope using (-5,1) and (4,0):

`(y_2-y_1)/(x_2-x_1)` =
`(0-1)/(4-(-5))` =
`(0-1)/(4+5)` =
`(-1)/(9)` =
`-(1)/(9)`

(-5,1)

y =
`-(1)/(9)`x + b

1 =
`-(1)/(9)(-5)` + b

1 =
`(5)/(9)` + b

9(1 =
`(5)/(9)` + b)

9 = 5 + 9b

-5 -5

4 = 9b

/9 /4

`(4)/(9)` = b

`y = -(1)/(9)x+(4)/(9)`

View attached graph to check our answer :)

Hope this helps!