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steposvetlana [31]
2 years ago
8

A line passes through the points (1, –6) and (4, 3).

Mathematics
1 answer:
Marina CMI [18]2 years ago
6 0

Answer:

y = 3x - 9

Step-by-step explanation:

We first need to find the slope (m)

m = \frac{y_2-y_1}{x_2-x_1} = \frac{3 - (-6)}{4-1} = \frac{9}{3} = 3

y = mx + b

y = 3x + b

(4, 3)

y = 3x + b

3 = 3(4) + b

3 = 12 + b

-12  -12

-9 = b

(1, –6)

y = 3x + b

-6 = 3(1) + b

-6 = 3 + b

-3   -3

-9 = b

y = 3x - 9

To check:  (1, –6)

y = 3x - 9

-6 = 3(1) - 9

-6 = 3 - 9

-6 = -6

Hope this helps!

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Help plz my teacher won't help
lesantik [10]

Answer:

y = -3x + 9

Step-by-step explanation:

y = mx + b where m is the slope and b is the y intercept

The hypotenuse is on the same line as BC but twice as long.  So extend that line up and it will cross the y axis at (0,9).  9 will be your y intercept.

To find the slope start at C and count  up 9 and to the left 3 to get to B.

So the slope is rise/run or 9/(-3) = -3.

Final equation would be y = -3x + 9

6 0
3 years ago
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
irga5000 [103]

Answer

a= -6

Step-by-step explanation:

-2(a-3)=12

1.) -2(a)= -2a

2) -2(-3)= 6

3)  -2a+6=12

          -6    -6

4) -2a/-2 = 12/-2

a = -6

3 0
3 years ago
Calculate the volume of the cylinder. Use button, not 3.14. Round answer to the tenth place.
Volgvan

Answer:

68.69 m^3

Step-by-step explanation:

Volume of cone = \frac{1}{3}\pi r^{2}h

= \frac{1}{3}\pi (2.9^{2})(7.8)

= \frac{1}{3}\pi (65.6)\\

= \frac{1}{3}(206)

= 68.69 m^3

7 0
2 years ago
Can someone please help me am failing
vichka [17]
All together it equals (of the number of hours he does in a week)
45 because 6 plus 9 is 15 and 15 multipled by 3 is 45 makes sense becuase .. 6 +3 is 9 and 9 +9 is 18 2 weeks equals 14 days 18 subtracted by 14 equals 2 which 45 subtracted by 2 is 43 and that's the esact number of hours he works 43 in a week.
7 0
3 years ago
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A secon
babunello [35]

Answer:

1/20

Step-by-step explanation:

6 0
3 years ago
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