Question

Determine the intercepts of the line Y+1=3(x-4)

Answer 1

x-intercept =
`(13)/(3)`

y-intercept =
`-13`

Explanation:

We are given the following equation of a line and we are to find the x and y intercepts for it:

`y + 1 = 3 ( x - 4 )`

In order to find the x-intercept, we will substitute 0 in place of y to get:

`0 + 1 = 3 ( x - 4 ) \\\\ 1 = 3 x - 12 \\\\ 3 x = 1 + 12 \\\\ x = \frac { 13 } { 3 }`

And to find the y-intercept, we need to substitute 0 in place of x:

`y + 1 = 3 ( 0 - 4 ) \\\\ y + 1 = -124 \\\\ y = - 12 - 1 \\\\ y = - 13`

So the x-intercept is
`(13)/(3)` while the y-intercept is
`-13`.

Answer 2

y-intercept:

(0,-13)

x-intercept:

`(4 (1)/(3) ,0)`

EXPLANATION

The given line has equation

`y + 1 = 3(x - 4)`

At y-intercept , x=0.

This implies that;

`y + 1 = 3(0 - 4)`

`y = - 12 - 1`

`y = - 13`

The y-intercept is

(0,-13).

At x-intercept y=0,

This implies that;

`0+ 1 = 3(x - 4)`

`(1)/(3) = x - 4`

`(1)/(3) + 4 = x`

`4 (1)/(3) = x`

The x-intercept is

`(4 (1)/(3) ,0)`