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Ronch [10]
3 years ago
6

write an equation for the line through the point -6 and -1 and parallel to the line 3x + y equals negative 7. write your answer

in slope intercept form
Mathematics
1 answer:
aniked [119]3 years ago
8 0

Answer:

y = -3x - 19

Step-by-step explanation:

The line passes trough (-6,-1)

The line is parallel to line whose equation is 3x + y = -7

Writing the equation of this parallel line in slope intercept form:

y = -3x - 7

Because the two lines are parallel, their slopes are the same.

Since the slope(m) is -3, equation of our first line will be:

Slope(m) = Change in y ÷ change in x

Taking another point (x,y) lying on our first line:

-3 = \frac{y - -1}{x - -6} = \frac{y + 1}{x + 6}

Cross multiplying gives;

y + 1 = -3x - 18

y = -3x - 19

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Answer: The widths of Kyle and Myla's boxes is the same as 2 ft.

Step-by-step explanation:

Formula : Volume of cuboidal box = length x width x height

width=\dfrac{Volume}{length\times height}

Given: Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft³ .

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Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft³.

width=\dfrac{16}{4\times2}=2\ ft.

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