Respuesta :

Let, the missing coordinate = x
m = y2-y1 / x2-x1
5 = x - 2 / 0-(-4)
5 = x-2/4
x-2 = 5*4
x = 20 + 2
x = 22

In short, Your Answer would be 22

Hope this helps!

Answer: 22

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

The given points : r(0, _), s(-4, 2)

Slope : m=5

let the missing coordinate be y.

Then , the slope of a line passing through two points r(0, y), s(-4, 2)is given by :-

[tex]5=\dfrac{2-y}{-4-0}\\\\\Rightarrow\2-y=5\times-4\\\\\Rightarrow\ y=20+2=22[/tex]

Hence, the missing coordinate of r = 22.