Question

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box

Answer 1

The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.

Answer 2

`y=-(1)/(3)x-5`

Explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(-6,-3)\ B(6,-7)`

Substitute the values

`m=(-7+3)/(6+6)`

`m=(-4)/(12)=-(1)/(3)`

step 2

we know that

The equation of the line into slope intercept form is equal to

`y=mx+b`

we have

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

`B(6,-7)`

substitute and solve for b

`y=mx+b` ------>
`-7=-(1)/(3)*6+b`

`-7=-2+b`

`b=-5`

The equation of the line is equal to

`y=-(1)/(3)x-5`