Question

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

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

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

now, we can plug

a=3 and b=2

$\frac{x}{3} +\frac{y}{2}=1$

now, we will get rid of denominators

so, we can multiply both sides by 6

$6*\frac{x}{3} +6*\frac{y}{2}=6*1$

$2x +3y=6$

we can also write it as

$3y-6=-2x$

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