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Answer:
y +6 = -4/3(x -3)
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -(-6))/(-3-3) = 8/-6 = -4/3
The point-slope form of the equation of a line through point (h, k) with slope m is ...
y -k = m(x -h)
Using the first of the given points, the equation becomes ...
y +6 = -4/3(x -3)
Answer:
option C is the correct answer
Step-by-step explanation:
System A: System B:
-x - 2y = 7 ........(1) -x - 2y = 7 .......(3)
5x - 6y = -3 ........(2) -16y= 32 ........(4)
Solution for system A: ( -3, -2)
For option A
Multiply the first equation by 3
3(- x - 2y) = 3(7) ⇒ - 3x - 6y = 21 ........... (5)
Add equation 2 and 5
5x - 6y = -3
<u> - 3x - 6y = 21</u>
2x -12y = 18 ⇒ 2( x - 6y ) = 2( 9 ) ⇒ x - 6y = 9
Option A is not equal to equation in system B so now we check option B.
For option B
Multiply the first equation by -5
-5(- x - 2y) = -5(7) ⇒ 5x + 10y = -35 ........... (6)
Add equation 2 and 6
5x - 6y = -3
<u> 5x + 10y = -35</u>
10x + 4y = -38 ⇒ 2( 5x + 2y ) = 2(-19) ⇒ 5x + 2y = -19
Option B is not equal to equation in system B so now we check option C.
For option C
Multiply the first equation by 5
5(- x - 2y) = 5(7) ⇒ - 5x - 10y = 35 ........... (7)
Add equation 2 and 7
5x - 6y = -3
<u> - 5x - 10y = 35</u>
0 - 16y = 32 ⇒ -16y = 32
Option C is equal to equation in system b so now we check if the solution to system B is same as system A.
Solution to system B:
First, we find value of y from equation 4:
-16y = 32 ⇒ y = ⇒ y = -2
Now, we put value of y in equation 3 to find value of x:
-x - 2y = 7 ⇒ -x - 2(-2) = 7 ⇒ -x + 4 = 7 ⇒ -x = 7 - 4 ⇒ -x = 3
multiply both sides by -1
-1 × (-x) = -1 × (3) ⇒ x = -3
Solution of system B = (-3, -2)
Solution of system B is the same as system A, so option C is correct.
Answer:
1 - Option C - 10,000
2 - 3x+5 will be 12 more than 3x-7.
Step-by-step explanation:
1) To find : With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?
Solution :
The number 3.475817 is multiplied by number to obtain 34,758.17.
As we see that, the decimal is moved four places to the right.
Which means the number is multiplied by 10000.
i.e.
Therefore, option C is correct.
2) To find : How much greater is the value of 3x+5 than the value of 3x−7?
Solution ;
Assuming that x is the same value in each equation,
In order to determine the difference between the two values,
We ignore the 3x part as it is the same on both of the equations.
So, from 5 to -7 i.e. 7+5=12.
Therefore, 3x+5 will be 12 more than 3x-7.