Question

12. Write an equation in standard form of a line whose intercepts are fractions.

Answer 1

Answer:

see the explanation in the procedure

Step-by-step explanation:

we know that

The equation of a line in standard form is

$Ax+By=C$

where

A is a positive integer

B and C are integers

Find the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

$By=C$

$y=\frac{C}{B}$

In order for C/B to be a fraction, C must not be a multiple of B

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

$Ax=C$

$x=\frac{C}{A}$

In order for C/A to be a fraction, C must not be a multiple of A