Question

What is the equation of the graphed line written in standard form?

A. –3x + y = –4
B. y = 3x – 4
C. y + 3x = 4
D. 3x – y = 4

Answer 1

Explanation:

Answer 2

Answer: D. 3x – y = 4

Step-by-step explanation: Standard form of a linear equation is of the form

ax+by =c.

We are given two points on the graph (2,2) and (0,-4).

Slope of the line: m =
`(y_2-y_1)/(x_2-x_1) =(-4-2)/(0-2) = (-6)/(-2) =3`.

Applying point-slope form

y-y1 = m(x-x1)

y-2 = 3(x-2)

y-2 = 3x -6

Adding 2 on both sides, we get

y-2+2 = 3x -6+2

y = 3x - 4

Subtracting 3x from both sides, we get

y -3x = 3x-3x - 4

-3x + y= -4.

Multiplying whole equation by -1, we get

3x -y =4.

Therefore, correct option is D option.