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

first option

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

Where "m" is the slope and "b" is the y-intercept.

The Standard form of the equation of the line is:

Where A is a positive integer, and B, and C are integers.

You can observe in the graph that the line intersects the y-axis at , then, "b" is:

Find the slope of the line with this formula:

Choose two points of the line and substitute values.

Points:(-3,0) and  (3,-4)

Then:

Substituting values into  , you get the equation of the line in Slope-intercept form:

To write it in Standard form, make the addition indicated:

Multiply both sides of the equation by 3:

And finally add 2x to both sides:

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0