Answer:
The answer is "2x-y=4"
Step-by-step explanation:
Given:
[tex]2x-y=-4\\2x-y=4\\y=2x-4\\y=\frac{1}{2}(x-4)\\[/tex]
The Formula of Slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
by replacing the (2,0) and (0,-4) coordinates in the above formula:
[tex]\to m= \frac{-4-0}{0-2}\\\\ \to m= \frac{-4}{-2}\\\\ \to m= \frac{4}{2}\\\\ \to m= 2\\\\[/tex]
if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.
Equation of the line:
[tex]\to y=mx+c[/tex]
apply m and c value in the above equation:
[tex]\to y=2x-4\\[/tex]
Subtract by 2x on both sides of the equation we get:
[tex]\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\[/tex]
