Respuesta :

find the slope using (y2-y1)/(x2-x1) = m then using either point substitute x1 and y1 from y - y1 = m(x-x1)

The equation of the line in standard form is  y = 2x - 2

what is the equation of the line ?

This means an equation in x and y whose solution set is a line in the (x,y) plane .

what is the standard form ?

it is defined as representation or notation of that particular element.

formula used to find the equation of the line is :

y - y 1 = m (x - x1)

Given : x1 = 4 , x2 = 6 , y1 = 6 , y2 = 10

formula  use to find m is :

m = y2-y1/x2-x1

⇒ 10 - 6 / 6 - 4

⇒ 4/2

⇒ 2

so ,

y - 6 = 2 (x - 4)

⇒ y - 6 = 2x - 8

⇒ y = 2x - 2

Hence, the equation of the line in standard form is  y = 2x - 2 .

Learn more about the equation of the line in standard form here :

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