What is the equation of this graphed line? enter your answer in slope-intercept form in the box.

The slope-intercept form:

m - slope

b - y-intercept

The formula of a slope:

We have the points (2, 6) and (-4, -6). Substitute:

Therefore we have the equation

Put the coordinates of the point (2, 6) to the equation:

       subtract 4 from both sides

y = 2x+2

Step-by-step explanation:

We have two points so we can find the slope

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

   = (6--6)/ (2--4)

   = (6+6)/(2+4)

  =12/6

  =2

We can use point slope form to make an equation of a line

y-y1 = m(x-x1)

y--6 = 2(x--4)

y+6 =2(x+4)

Distribute

y+6 = 2x+8

Subtract 6 from each side

y+6-6 = 2x+8-6

y = 2x+2

This is in slope intercept form

y= mx+b

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