Question

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

Answer 1

we are given

x-intercept is 3

so,

a=3

y-intercept is 2

b=2

now, we can intercept formula of line

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

now, we can plug

a=3 and b=2

`(x)/(3) +(y)/(2)=1`

now, we will get rid of denominators

so, we can multiply both sides by 6

`6*(x)/(3) +6*(y)/(2)=6*1`

`2x +3y=6`

we can also write it as

`3y-6=-2x`

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