Question 668627
Slope {{{(Y2-Y1)/(X2-X1)}}} = {{{(3--4)/(8-3) = 7/5}}}
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Using the determined slope and one of the coordinates,
-4 = {{{(7/5)(3)}}} + b
b = -4 - {{{21/5}}}
b = {{{-20/5 - 21/5 = -41/5}}}
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linear equation
{{{highlight(y = (7/5)x - (41/5))}}}
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Confirm using the other coordinate
3 = {{{(7/5)(8)}}} + b
b = 3 - {{{56/5}}}
b = {{{15/5 - 56/5 = -41/5}}}
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{{{graph(300,200,-10,10,-15,10,(7/5)x - (41/5))}}}
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