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olga_2 [115]
3 years ago
8

Which is an equation of the line through (-1,-4) and parallel to the line 3x + y = 5? ​

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer: y = -3x -7   or    3x + y = -7  

Step-by-step explanation:

For two lines to be the same, they need to have the same slopes but different y-intercepts. First convert the equation 3x+y =5 into slope intercept form.

3x + y = 5  subtract 3x from both sides

-3x          -3x

 y = -3x +  5   in this case we know that the slope is -3 and the y-intercept is 5.

Now since they will have the same slope input the x and y coordinates and find the equation that will be parallel to it.

-4 = -3(-1) + b

-4 = 3 +b  

-3     -3

b=  -7  

Since the y intercept is -7 the equation will be  y = -3x -7   or   3x + y = -7

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Two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them.
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sertanlavr [38]

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Step-by-step explanation:

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Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser
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Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY (m_{1}) = \frac{y-y'}{x-x'}

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Similarly, slope of XZ (m_{2}) = \frac{-6+4}{2-0}          

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