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A function has x-intercept 3 and y-intercept 2. Which of the functions below could be this function?

A) 4+3x=2y
B) 2x-3y=-6
C) 2y+3x=4
D) 3y-6=-2x

Respuesta :

we are given

x-intercept is 3

so,

a=3

y-intercept is 2

b=2

now, we can intercept formula of line

[tex] \frac{x}{a} +\frac{y}{b}=1 [/tex]

now, we can plug

a=3 and b=2

[tex] \frac{x}{3} +\frac{y}{2}=1 [/tex]

now, we will get rid of denominators

so, we can multiply both sides by 6

[tex] 6*\frac{x}{3} +6*\frac{y}{2}=6*1 [/tex]

[tex] 2x +3y=6 [/tex]

we can also write it as

[tex] 3y-6=-2x [/tex]

so, option-D..................Answer

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