To find the slope, we must use the formula stated below.

Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)

Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.

I'll use the first coordinate as our #1.

(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer

6 0

3 years ago

Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.

viktelen [127]

ANSWER

$\frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

EXPLANATION

The given fraction is,

$\frac{w - 3}{w + 5}$

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

in the denominator.

This implies that,

$\frac{w - 3}{w + 5} = \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}$

We multiply out the numerators and denominators using the distributive property to obtain,

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }$

This simplifies to

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

5 0

3 years ago

-<img src="https://tex.z-dn.net/?f=%5Csqr%5Csqrt4-x%20%2B%5Csqrt%7B4-x" id="TexFormula1" title="\sqr\sqrt4-x +\sqrt{4-x" alt="\s

tankabanditka [31]

$-2-x+\sqrt{-x+4}$

8 0

3 years ago