Question

Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload option to submit all of your calculations and final answer. (2,2), (-2,-2)

Answer 1

Answer:

• m = (2-(-2))/(2-(-2)) = 4/4 = 1
• y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

  y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

  m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

  y -(-2) = 1(x -(-2))

  y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

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The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this could be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.