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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