( − 6 , 5 ) and ( 3 , − 7 ) (−6,5) and (3,−7)

Question

(−6,5) and (3,−7)(−6,5) and (3,−7)

Answer 1

(-6,5) and (3,-7) have a line through them with the equation:

(-7-5)/(3- -6) = (y+7)/(x-3)

-12/9 = -4/3 = (y+7)(x-3)

y+7 = -4x/3 + 4

y = -4x/3 -3 is the equation of the line through the two given points

the line has slope = -4/3 and y intercept =-3

it might help to plot the two points and connect them with a straight line

a picture is worth a thousand works or algebraic calculations

(-6,5) (3,-7) have a midpoint = the average of the coordinates (-3/2, -1)

the two points have a distance between them of sqr(12^2 +9^2) = sqr(144+81) = sqr225

or maybe the problem was about symmetry, reflecting the points about

the x axis, y axis or origin. Or reflecting the line in any of those 3 ways

Or you might try fitting a parabola through the two points.