Which formula should be used to find the slope of EF? A) x = -b ± b2 - 4ac 2a B) m = y2 - y1 x2 - x1 C) m = y2 + y1 x2 + x1 D) M = (x1 + x2 2 , y1 + y2 2 )

D) The formula M = ((x1 + x2)/2, (y1 + y2)/2) calculates the mid-point of the line joining the points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex].

B) The formula m = ((y2 - y1)/(x2 - x1)) calculates the slope of a line.

Hence, option B should be used to find the slope of EF.

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pinquancaro pinquancaro · Answer 2 · 2019-11-29T04:03:31+01:00

Answer:

Option B - [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

To find : Which formula should be used to find the slope of EF?

Solution :

The slope formula of two points [tex](x_1,y_1),(x_2,y_2)[/tex] is given by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

As in given options,

A) [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] is the quadratic formula used to find roots.

B) [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] is the required formula to find the slope.

C) [tex]m=\frac{y_2+y_1}{x_2+x_1}[/tex] is not any formula.

D) [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] is the mid point formula.

Therefore, Option B is correct.