Question

Use the intercepts from the graph below to determine the equation of the function.

A. 2x + 8y = 6
B. -2x + 8y = 6
C. 2x - 8y = 6
D. 2x + 8y = -6

Answer 1

(-3,0) and (5, -2)

slope = (0 + 2) /(-3 - 5) = -2/8

y - 0 = -2/8 (x + 3)

y = -2/8 x - 6/8

8y = -2x - 6

2x + 8y = - 6

Answer is

D. 2x + 8y = -6

Answer 2

From the graph the at x-intercept


`(-3, \: 0)`

`(0, ( - 3)/(4) )`

Using the intercepts ,the equation is given by,


`(x)/(a) + (y)/(b) = 1`

where

`a = - 3`
and

`b = ( - 3)/(4)`
This implies that


`(x)/( - 3) + (y)/( ( - 3)/(4) ) = 1`


This implies that


`x + 4y = - 3`
Multiplying through by 2 gives


`2x + 8y = - 6`
<b> The correct answer is D </b>