9. Find the equation of the line passing through the points (-5,7), (-5,3)
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Answer:
Use formula m1x2 plus m2x1 upon m1 plus m2 for value of xand m1y2 plus m2y1 upon m1 plus ➕ m2
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The line is represented by the equation y = m x + b
m is the slope and b is the intersection of y - axis
The slope or tangent of a line is m = (y2 - y1)/(x2 - x1)
in this case m = (3 - 7)/(( 2- ( -5)) = - 4/7
the value of b:
we can use any of the two points given to calculate the value of b.
I choose the point (2,3):
3 = (-4/7 )* 2 + b
b = 3 + 8/7 = 29/7
So the line equation is:
y = (-4/7) x + 29/7
7y =-4 *x + 29
I think one can solve this problem also
by treating the tangent or slope -4/7 as the
first derivative of line function and then do the
integration.
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