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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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7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S
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When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

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