Answer: y=5/3x-4
Explanation:
Hi, you could find the slope with any 2 points on the line. For accuracy, I will choose the points (6, 6) and (0, -4), meaning when x =6, y=6, and when x=0, y=-4. Then you can set up an equation. Because the line on this graph is linear (meaning straight), the form of the equation would be y=ax+b. (If it was a parabola, it would be y=ax^2+bx+c).
y=mx+b (Or some people prefer y=ax+b, but the same thing).
Now, plug in the x and y values, getting:
6 = 6m+b and -4=0*m+b
When you simplify, you will get that b is -4, and then m is 5/3
So the equation is y=5/3x-4
You can plug the numbers of x and y in to check your answer.
Hope this helps!