Q: What is the line passing through the points (2-3) and (42)?

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Points: (0, 3) and (5, 23) Slope: 4 Equation: y = 4x+3

If you mean of points of (3, -4) and (5, 1) then the equation works out as 2y=5x-23

Points: (5, -2) and (4, 3)Slope: -5Equation: y = -5x+23

Slope=8 point=(-7,3)

It has no slope.

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Points: (0, 3) and (5, 23) Slope: 4 Equation: y = 4x+3

If you mean of points of (3, -4) and (5, 1) then the equation works out as 2y=5x-23

If you mean points of (2, 3) and (4, 3) then the slope is 0 and it is a horizontal straight line parallel to the x axis

Points: (5, -2) and (4, 3)Slope: -5Equation: y = -5x+23

Slope=8 point=(-7,3)

It has no slope.

It is: y = -23 which will be straight horizontal line parallel to the x axis

The midpoint is (2,3)

I assume you mean between the points (9, -3) and (4, 10): slope = change_in_y/change_in_x = (10 - -3)/(4 - 9) = 13/-5 = -23/5 = -2.6

y=23

If you mean points of (-2, 3) and (10, 3) then the midpoint is (4, 3)

It is a straight line