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NeX [460]
3 years ago
5

What is the equation of the graphed line in point-slope form?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
First you do the distributive property and then you have to use the inverse property of each equation and after all the math the answer is y-1= 2/3(x-3)


P.S: Next time you may want to add the fractions in the possible answers
Flura [38]3 years ago
5 0
We first need to find the gradient of the line
\frac{y_{2}- y_{1} } {x_{2}-x_{1} } = \frac{-3-1}{-3-3}= \frac{-4}{-6}= \frac{2}{3}

From the graph, we see the graph intercepts y-axis at -1

Hence, the equation of the line is y= \frac{2}{3}x-1
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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z&lt;5
abruzzese [7]

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The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

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3 years ago
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Step-by-step explanation:

Hope this helps!!

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