Question

What is the equation of the graphed line written in

standard form?
N
2x - y=-4
O 2x-y=4
2x-4
1x-4
O y=
54-3-2-41 1 2 3 4 5

Answer 1

B.) 2x-y=4

step by step explanation:

Answer 2

Given:

Given that the graph of the linear equation.

We need to determine the equation of the graph.

Slope:

The slope of the equation can be determined using the formula,

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

Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;

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

`m=(-4)/(-2)`

`m=2`

Thus, the slope of the equation is 2.

y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Hence, from the graph, it is obvious that when x = 0, the value of y is -4.

Therefore, the value of the y - intercept is b = -4.

Equation of the line:

The equation of the line can be determined using the formula,

`y=mx+b`

Substituting the values, we have;

`y=2x-4`

Subtracting both sides by 2x, we have;

`-2x+y=-4`

Dividing both sides by -1, we get;

`2x-y=4`

Thus, the equation of the line is
`2x-y=4`

Hence, Option B is the correct answer.