Question

What is the equation of the graphed line written in standard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-half EndFraction x minus 4.

Answer 1

2x-y=4

Explanation:

Answer 2

The answer is "2x-y=4"

Explanation:

Given:

`2x-y=-4\\2x-y=4\\y=2x-4\\y=(1)/(2)(x-4)\\`

The Formula of Slope:

`m=(y_2-y_1)/(x_2-x_1)`

by replacing the (2,0) and (0,-4) coordinates in the above formula:

`\to m= (-4-0)/(0-2)\\\\ \to m= (-4)/(-2)\\\\ \to m= (4)/(2)\\\\ \to m= 2\\\\`

if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.

Equation of the line:

`\to y=mx+c`

apply m and c value in the above equation:

`\to y=2x-4\\`

Subtract by 2x on both sides of the equation we get:

`\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\`