Question

What is the equation of the line graphed below?A. y=-3xB. y=xО с.C. y - -|×D. y=3×(3-1)

Answer 1

Answer: C.

`y=-(1)/(3)x`

Step-by-step explanation

The equation of the line can be written in the slope-intercept form:

`y=mx+b`

where m is the slope and b is the y-intercept.

Therefore, we can get the y-intercept from the graph:

Thus, the y-intercept is y = 0, meaning that b = 0.

Then, we can replace the point given (3, –1) in the equation and solve for m:

`-1=m(3)+0`
`-(1)/(3)=m`
`m=-(1)/(3)`

Finally, replacing the value we get the equation:

`y=-(1)/(3)x`