Question

Please help!

What is the equation of this graphed line?



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

Answer 1

y=2x+2 because the slope of the line is 12/6 which simplifies to 2, and the y-intercept of the line is also 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`