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Elan Coil [88]
3 years ago
11

Write an equation for (-1,-2),(-3,-4)

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

y=x+1

Step-by-step explanation:

First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:

-4--2/ -3--1= -2/-2= 1

so the slope is 1

Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b

-3=-4+b

1=b

now plug the slope and y intercept in:

y=x+1

hope this helps :D

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Which of these statements is correct?
tatuchka [14]

Answer:

The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.

Step-by-step explanation:

<em>1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

6x - 5y = 8

y = <u>8 - 6x</u>

        -5

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

16x - 6y = 22

16x - 6 (<u>8 - 6x)</u> = 22

              -5

80x - 48 + 36x = 22 x -5

94x = 43

x = 0.457

<em>This statement is incorrect as it does have a solution.</em>

<em>2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

7x + 2y = 6

y = <u>6 - 7x</u>

        2

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

14x + 4y = 16

14x + 4(<u>6 - 7x)</u> = 16

              2

14x + 12 - 14x = 16

0 ≠ 4

<em>This statement is not true as there are no solutions.</em>

<em>3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

8x - 3y = 10

x = <u>10 + 3y</u>

        8

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

16x - 6y = 22

16(<u>10 + 3y)</u> - 6y = 22

       8

20 + 6y - 6y = 2

0 ≠ -18

<em>This statement is true because there are no solutions</em>

<em>4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

9x + 6y = 14

x = <u>14 - 6y</u>

        9

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

18x + 12y = 26

18 (<u>14 - 6y)</u> + 12y = 26

        9

8 - 12y + 12y = 26

0 ≠ 18

<em>This statement is incorrect because there are no solutions. It does not have infinite number of solutions.</em>

<em>!!</em>

8 0
3 years ago
Read 2 more answers
Question 1<br> Determine the midpoint of the segment with endpoint (-9,3) and (7,-8).<br> Question 2
mario62 [17]

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is (\frac{x1+x2}{2} ,\frac{y1+y2}{2}), given points (x1, y1) and (x2, y2)

midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} ) = (\frac{-2}{2}, \frac{-5}{2}  ) = (-1, -2.5)

6 0
3 years ago
Read 2 more answers
Please help it is math
olasank [31]

Answer:

A linear function has the form y=mx+b

A line has a proportional relationship if y/x is always the same ratio for any value.

The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.

A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.

In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.

This happens if they have the shape y=mx.

Step-by-step explanation:

hope this helps pls mark me brainliest

4 0
3 years ago
Pls Help! Which graph A,B or C?​
julsineya [31]

Answer:

Answer=C

Step-by-step explanation:

6 0
2 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

x^{2} =(3-x)^{2} +2

x^{2} =9-6x+x^{2} +2

6x=11

x=\frac{11}{6}

Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
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