Respuesta :

texaschic101
(0,4)(4,0)
slope = (0 - 4) / (4 - 0) = -4/4 = -1

y = mx + b
slope(m) = -1
use either of ur points....(0,4)...x = 0 and y = 4
sub and find b, the y int
4 = -1(0) + b
4 = b

equation is : y = -x + 4....in standard form, it is : x + y = 4

Answer:

standard form y = -x + b.

Step-by-step explanation:

Given : Graph and points (0,4)(4,0).

To find : Standard form of equation .

Solution : We have given that  points (0,4)(4,0).

Let [tex]x_{1}[/tex] = 0 ,   [tex]x_{2}[/tex] = 4

[tex]y_{1}[/tex] =4  ,      [tex]y_{2}[/tex] = 0.

Slope = [tex]\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex].

Plugging values

Slope = [tex]\frac{0 - 4}{4 - 0}[/tex].

Slope = -1 .

Standard form y = m x + b

                        y = -1 x + b.

Plug (0,4)  

 4 = -1 ( 0)+ b

4 = b .

Now , plugging values b= 4 , m = -1.

y = -x + b.

Therefore, standard form y = -x + b.

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