Question 911751
All points on y = -2x+3 are of the form (x,y) = (x, -2x+3)



(x1,y1) = (2,3)
(x2,y2) = (x, -2x+3)



Slope formula


m = (y2 - y1)/(x2 - x1)


2 = (-2x+3 - 3)/(x - 2)


2 = (-2x)/(x - 2)


2(x - 2) = -2x


2x - 4 = -2x


-4 = -2x - 2x


-4 = -4x


-4x = -4


x = (-4)/(-4)


x = 1


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y = -2x+3


y = -2(1)+3


y = -2+3


y = 1


So the point M is (1,1)