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oksian1 [2.3K]
3 years ago
8

Q # 4 find the slope of the line through the pair of points A(2, -3), P(2, 9)

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0
The answer is 12/0, which is undefined
fiasKO [112]3 years ago
5 0
The given points are (2, -3) and (2, 9)

The x-component of the two points is the same. Which means the line passing through the given two points is a vertical line and slope of a vertical line is undefined.

You can also validate it using the formula of finding slope.

Slope = (-3-9)/(2-2) = -12/0 = undefined

So, first option is the correct answer.

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Find the equation of a straight line passing throught the point listed and having the given gradient. Express your answer in the
Igoryamba
First let's try to find the equation in this form : <span>y = mx + c 

The gradient is given 3 . In a line's equation, x's coefficient represents the line's gradient.

So equation of a line with the gradient of 3, would look like this ;

</span>y= 3x + c
<span>
Now a point that the line passes through is given, (1, 2) 

This point's x-coordinate is 1 and y-coordinate is 2.

So we'll plug its x-coordinate value in the equation and also y-coordinate value. So we can solve it.

As you know, </span>x=1 and y=2

y = 3x + c

2\quad =\quad 3\cdot 1+c\\ \\ 2\quad =\quad 3+c\\ \\ 2-3\quad =\quad c\\ \\ -1\quad =\quad c

We found c = -1 

Also in a line's equation, c is constant and it represents the line's y-intercept

So let's build the line's equation.

m=3 and c=-1

y= mx + c

y= 3x -1

We found the line's equation in this form, y= mx + c

Now let's turn it into this form, ax + by + c = 0

y\quad =\quad 3x-1\\ \\ y-3x\quad =\quad -1\\ \\ y-3x+1\quad =\quad 0\\ \\ -3x+y+1\quad =\quad 0

Final answers,

\boxed { y\quad =\quad 3x-1 }

and 

\boxed { -3x+y+1\quad =\quad 0 }

I hope this was clear enough :)




<span>


</span>
5 0
3 years ago
Read 2 more answers
191.2=2.3L+65.5 helppppppppppppppppppppppppppp
svetlana [45]

Answer:

Step-by-step explanation:

191.2 = 2.3L +65.5

191.2 - 65.5 = 2.3L   {Subtract 65.5 from both sides}

125.7= 2.3L

L = 125.7/2.3

L = 54.65

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME TRYING TO MAKE HONOR ROLL PLASE HELP PLEASE
Helga [31]

Step-by-step explanation:

a+(a+60)=760

a=adult tickets

a+60=student tickets

a+a+60=2a+60

2a+60=760

-60 -60

2a=700

÷2. ÷2

a=350

350 adult tickets

6 0
3 years ago
3 Questions Math! HELP!!!
Sveta_85 [38]
1) Since the larger number is a negative, you’re going to get a negative solution for number one. An easy way to do the math is to ignore the negative sign in (-116) For a moment. And subtract 56 from it.
116 - 56 = 60. Don’t forget to place the negative sign we pushed to this side before the solution. The answer is -60.

2) We do the same thing we did in number one, but with new numbers. The answer in total is -178.

3. As stated, we do the same thing we did in number one. Just because there’s a decimal doesn’t change much. And your answer would be -1.1
8 0
3 years ago
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The sum of two numbers is 21 and their difference is 7 what are those two numbers
True [87]
If you need the sum than here is an equation for it 7x3= 21
6 0
3 years ago
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