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

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

$2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)$

The Formula of Slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$\to m= \frac{-4-0}{0-2}\\\\ \to m= \frac{-4}{-2}\\\\ \to m= \frac{4}{2}\\\\ \to m= 2$

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:

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