C(5,-2); y=-5x+3

Question

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Answer 1

C(5,-2) is not a solution to the equation y =-5x+3

the point is not on the line y =-5x+3

plot the point, graph the line

closest C gets to the line is: the point (20/13, -61/13)

which is a distance d = sqr( (5-20/13)^2 + (-2+61/13)^2)= sqr(2025/169 +1225/169)

= sqr(3150)/13 = 5(sqr126)/13= about 4.3173

y =x/5 -3 =-5x +3

x -15 = -25x +15

26x = 40

x = 20/13 y = -100/13+39 = - 61/13