Question

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answer 1

6-(-6)
____
2-(-4)

12/6
2

The slope is 2
y=2x+2.5
or
y=2x+2

Answer 2

`y=2x+2`

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(-4,-6)\ B(2,6)`

Substitute the values

`m=(6+6)/(2+4)`

`m=(12)/(6)=2`

step 2

we know that

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

`y=mx+b`

we have

`m=2`

`B(2,6)`

substitute and solve for b

`y=mx+b` ------>
`6=(2*2)+b`

`6=4+b`

`b=2`

The equation of the line is equal to

`y=2x+2`