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Anvisha [2.4K]
3 years ago
7

A line passes through the point (-6, -8) and has a slope of 3/2

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

y=3/2(x) -1, or y = 1.5x - 1

Step-by-step explanation:

To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:

y=mx+b.

For this particular line, you would write:

-8 = 3/2(-6)+b

-8 = -18/2 + b

-8 = -9 + b

add 9 to both sides to isolate the b

-1 = b.

Now that you have the answer for b (-1), you can write the equation as:

y=3/2(x) -1

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The area of a storage shed floor is 20 ft2. The length is 3 more than twice the width. Find the dimensions of the storage shed f
vladimir1956 [14]

Answer:

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Step-by-step explanation:

The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.

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<h3>Given relation</h3>

Let x represent the width of the shed. Then the length is (2x+3), and the area is ...

  A = LW

  20 = (2x+3)(x) . . . . . area of the shed

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<h3>Solution</h3>

Completing the square gives ...

  2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides

  2(x +0.75)² = 21.125 . . . . . . . write as a square

  x +0.75 = √10.5625 . . . . . divide by 2, take the square root

  x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution

The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.

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2 years ago
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