Answer:
y - 7 = -4/3(x + 1)
Step-by-step explanation:
<u>Given</u>
<u>Convert to point slope form</u>
y - y1 = m(x - x1)
m: represents what the slope is
y - 7 = -4/3(x + 1)
<u>Distribute -4/3</u>
-4/3 * x = -4/3x
-4/3 * 1 = -4/3
y - 7 = -4/3x - 4/3
<u>Add seven in both sides</u>
21/3 -4/3 = 17/3
y = -4/3x + 17/2
<u>Answer</u>
linear equation: y = -4/3x + 17/2
point-slope form: y - 7 = -4/3(x + 1)
Find the absolute value vertex. In this case, the vertex for y=|x−5|y=|x-5| is (5,0)(5,0).
(5,0)(5,0)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
(−∞,∞)(-∞,∞)
{x|x∈R}{x|x∈ℝ}
For each xx value, there is one yy value. Select few xx values from the domain. It would be more useful to select the values so that they are around the xx value of the absolute valuevertex.
xy3241506172
f = (f1 f2) / (f1 + f2)
f(f1 + f2) = f1 f2
f f 1 + f f 2 = f1 f 2
f1 f2 - f f2 = f f1
f2 (f1 - f) = f f1
f2 = (f f1) / (f1 - f) <==== solution
To factor both numerator and denominator in this rational expression we are going to substitute

with

; so

and

. This way we can rewrite the expression as follows:

Now we have two much easier to factor expressions of the form

. For the numerator we need to find two numbers whose product is

(30) and its sum

(-11); those numbers are -5 and -6.

and

.
Similarly, for the denominator those numbers are -2 and -5.

and

. Now we can factor both numerator and denominator:

Notice that we have

in both numerator and denominator, so we can cancel those out:

But remember than

, so lets replace that to get back to our original variable:

Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is

