Question

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.)

Answer 1

Answer:

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, ⇒$m= -\frac{2}{3}$

Therefore, the equation (1) becomes $y= -\frac{2}{3} x$

⇒ 2x + 3y = 0 (Answer)