Find the equation whose graph is the red line shown below. write your answer in standard form. (standard form is ax+by = c, where a is positive, and a, b, and c are integers with greatest common divisor 1.)

2x + 3y = 0

Step-by-step explanation:

It is clear from the graph that the straight line passes through the point (0,0) i.e. origin.

So, in the slope-intercept form of the equation, there will be no y-intercept.

Hence, the equation of the straight line will be simply y = mx ...... (1)

Now, it is already shown in the graph that the straight line (1) passes through the point (3,-2) point.

So, from equation (1), -2 = 3m, ⇒

Therefore, the equation (1) becomes

⇒ 2x + 3y = 0 (Answer)