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AnnZ [28]
3 years ago
8

Find the slope of the given points (2,5) and (8,-3) and write the equation​

Mathematics
1 answer:
max2010maxim [7]3 years ago
7 0

Answer:

Slope = \frac{-4}{3}

4x + 3y = 23

Step-by-step explanation:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}

The equation:

\frac{y-y_{1} }{x-x_{1} }=m   m is the slope

y-y_{1}=m(x-x_{1} )

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)  

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23

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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)
mamaluj [8]

Answer:

First option:  \left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and  "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

b=3

2. The lines are solid, then the symbol of the inequality must be \leq or \geq.

3. Since both shaded regions are below the solid lines, the symbol is:

\leq

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.

6 0
3 years ago
Read 2 more answers
Simplify<br> −6+{14+2[60−9(1+3)]}
ziro4ka [17]
The answer is 56.

I know this because...
<span>-6 + {14 + 2 [60 − 9(1 + 3)]}
-6 + </span>{14 + 2[60 − 9(4)]}
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6 0
3 years ago
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Solve systems of equations by algebraically x-2y=7 <br> 2x+5y =5
Natali [406]

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

<em>1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.</em>

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

<em>2. Now take your second equation and plug in what you got for x into the x variable.</em>

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

<em>3. Since you have one variable solved for. Now take the first equation and plug in your y.</em>

x-2(-1)=7

(Multiple -2 by -1)

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(Move the 2 to the other side in order to get the x by itself.)

x=5

<em>4. If needed, plug in your x and y values into the equations in order to check your answer.</em>

Hope this could help!

8 0
3 years ago
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ziro4ka [17]
Answer=10

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10.09 

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The number is 0, so we would round down.

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3 0
3 years ago
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inn [45]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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