Question

What is the equation of this graphed line?

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

Answer 1

y = 2x + 2

Explanation:

Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12. Thus, the slope is

m = rise / run = 12/6 = 2.

From the graph we can see that the y-intercept is (0,2). Thus, the slope-intercept equation of this line is:

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`