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Arada [10]
3 years ago
15

Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

<u>Point slope form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-3 - 4}{2 - (-1)}

m = \frac{-7}{2 + 1}

m = \frac{-7}{3}

<u>Step 2:  Plug into the point slope form</u>

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer:  Option B, y + 3 = -7/3(x - 2)

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How do i simplify it? ​
Lemur [1.5K]

Answer:

6 3/4x

Step-by-step explanation:

If you follow PEMDAS (Parenthesis, Exponent, Multiply, Divide, Add, Subtract) then you do what is inside the parenthesis first.

3 1/2 divided by 2= 1 3/4

1 3/4 plus 5= 6 3/5

Then, you add the x and since there is no other variable like x, then you just leave it with 6 3/4.

Hope that helped! :)

3 0
2 years ago
( m + 4 ) ( m + 1 )
love history [14]
(m+4)(m+1)

=m^2+5m+4........
3 0
3 years ago
Following the recommended steps for solving equations, what should be your first step in solving the given equation?
Free_Kalibri [48]
To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.

The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.

If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.

I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.

I'll rearrange the left-hand side to combine all the terms with the x variable.

Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.

-3 + 2x - 4x - 2x = -6
-3 - 4x = -6

Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.

-3 - 4x + 3 = -6 + 3
-4x = -3

Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.

-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75



8 0
2 years ago
Read 2 more answers
The age of a boy is twice that of his sister. five years ago the boy was 3 times the age of his sister. How old is the boy
joja [24]

<em>Answer</em><em>:</em>

<h2><em>2</em><em>0</em><em> </em><em>years</em><em> </em><em>old</em><em>.</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>sister</em><em> </em><em>be</em><em> </em><em>X</em>

<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>boy</em><em> </em><em>be </em><em>2</em><em>x</em>

<em>Now</em><em>,</em>

<em>Five</em><em> </em><em>years</em><em> </em><em>ago</em><em>,</em>

<em>3(x - 5) = 2x - 5 \\ or \: 3x - 15 = 2x - 5 \\ or \: 3x - 2x =  - 5 + 15 \\ x = 10</em>

<em>Again</em><em>,</em>

<em>Repla</em><em>cing</em><em> </em><em>value</em><em>,</em>

<em>age \: of \: boy = 2x \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 2 \times 10 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 20</em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

7 0
3 years ago
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:(
-Dominant- [34]

Sorry for taking so long, it wont let me type a while ago. I have it all fix now hehe. I took a picture of my work, ask me if you still don’t understand.

8 0
3 years ago
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