Question

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 )

Answer 1

A) The formula x =  -b ± sqrt(b2 - 4ac)/2a calculates the roots of a quadratic equation.

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

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.

Answer 2

Answer:

Option B -  $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

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

Solution :

The slope formula of two points $(x_1,y_1),(x_2,y_2)$ is given by,

$m=\frac{y_2-y_1}{x_2-x_1}$

As in given options,

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

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

C)  $m=\frac{y_2+y_1}{x_2+x_1}$ is not any formula.

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

Therefore, Option B is correct.