Jack and Jill are trying to find the slope of a line segment connecting two points, (x1, y1) and (x2, y2). Jack uses the formula m = y2 - y1 x2 - x1 . Jill mistakenly uses a different formula, but still gets the right answer. Which formula COULD she have used?

The right formula to get the slope is: m =(y₂-y₁)/(x₂-x₁)
But if you right it the other way round m = (y₁-y₂)/(x₁-x₂)

Both give the same the answer but the 1st is the right one

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eudora eudora · Answer 2 · 2019-10-25T19:48:15+02:00

Answer:

Slope ([tex]m_{2}[/tex]) = [tex]\frac{(y_{1}-y_{2})}{(x_{1}-x_{2})}[/tex]

Step-by-step explanation:

To find the slope of a line which passes through ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) we use the formula

Slope ([tex]m_{1}[/tex]) = [tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

Now we will rewrite this formula in another form

Slope ([tex]m_{2}[/tex]) = [tex]\frac{-(y_{2}-y_{1})}{-(x_{2}-x_{1})}[/tex]

= [tex]\frac{(y_{1}-y_{2})}{(x_{1}-x_{2})}[/tex]

If we change the sign of numerator and denominator fraction will remain the same.

Therefore, Slope will remain same and Jill can use this formula to get the value of slope.