Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in
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1 answer:
The point-slope form can be simplified from the 2-point form.
y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form
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Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4
y +4 = (-4-2)/(1-(-8))*(x -1) . . . . 2-point form
y +4 = -6/9(x -1)
y +4 = -2/3(x -1) . . . . . point-slope form
_____
Above is the usual form associated with the term "point-slope form." I prefer a form with the y-value of the point added to both sides:
.. y = -2/3(x -1) -4
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Answer:
R(-3, 8)
Step-by-step explanation:
R = 2Q -P
R = 2(4, 3) -(11, -2) = (8-11, 6+2)
R = (-3, 8)
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You can derive the formula for the endpoint from the formula for the midpoint:
Q = (R + P)/2
R = 2Q - P . . . . . . multiply by 2 and subtract P
