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Question 756267: 1. write an equation in point slope form that models the given information. Then,rearrange it into standard form.
A. Passes through (4,2) and (‐2,4)
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Use coordinates (4,2) and (-2,4) to find gradient (m)
Formula = y2 - y1/x2 - x1 = 4 - 2/-2 -4 = 2/-6 = -1/3
Using (4, 2) m = -1/3 and the formula =>
(You can use either set of the coords. (4,2) or (-2,4))
y - b = m(x - a) (a and b are x and y of coords)
y - b = m(x - a)
y - 2 = -1/3(x - 4)
Multiply out:
y - 2 = -1/3x + 4/3
Convert 2 to 6/3
y = -1/3x + 4/3 + 6/3
y = -1/3x + 10/3
You can multiply through by 3 to remove fractions:
3y = -x + 10
Hope this helps
:-)
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