Respuesta :

kudzordzifrancis

ANSWER

y-intercept:

(0,-13)

x-intercept:

[tex](4 \frac{1}{3} ,0)[/tex]

EXPLANATION

The given line has equation

[tex]y + 1 = 3(x - 4)[/tex]

At y-intercept , x=0.

This implies that;

[tex]y + 1 = 3(0 - 4)[/tex]

[tex]y = - 12 - 1[/tex]

[tex]y = - 13[/tex]

The y-intercept is

(0,-13).

At x-intercept y=0,

This implies that;

[tex]0+ 1 = 3(x - 4)[/tex]

[tex] \frac{1}{3} = x - 4[/tex]

[tex] \frac{1}{3} + 4 = x[/tex]

[tex]4 \frac{1}{3} = x[/tex]

The x-intercept is

[tex](4 \frac{1}{3} ,0)[/tex]

alinakincsem

Answer:

x-intercept = [tex]\frac{13}{3}[/tex]

y-intercept = [tex]-13[/tex]

Step-by-step explanation:

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

[tex] y + 1 = 3 ( x - 4 ) [/tex]

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

[tex] 0 + 1 = 3 ( x - 4 ) \\\\ 1 = 3 x - 12 \\\\ 3 x = 1 + 12 \\\\ x = \frac { 13 } { 3 } [/tex]

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

[tex] y + 1 = 3 ( 0 - 4 ) \\\\ y + 1 = -124 \\\\ y = - 12 - 1 \\\\ y = - 13 [/tex]

So the x-intercept is [tex]\frac{13}{3}[/tex] while the y-intercept is [tex]-13[/tex].