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

$(-3, \: 0)$
$(0, \frac{ - 3}{4} )$

Using the intercepts ,the equation is given by,

$\frac{x}{a} + \frac{y}{b} = 1$

where
$a = - 3$
and
$b = \frac{ - 3}{4}$
This implies that

$\frac{x}{ - 3} + \frac{y}{ \frac{ - 3}{4} } = 1$


This implies that

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

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