Question

Indicate, in standard form, the equation or inequality that is shown by the graph. (0,4)(4,0)

Answer 1

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 $x_{1}$ = 0 ,   $x_{2}$ = 4

$y_{1}$ =4  ,      $y_{2}$ = 0.

Slope = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$.

Plugging values

Slope = $\frac{0 - 4}{4 - 0}$.

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.

Answer 2

(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