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steposvetlana [31]
3 years ago
15

What is the slope of a line that passes through the points (-2,3) and (4,-12)

Mathematics
2 answers:
posledela3 years ago
6 0

Answer:

m = -5/2

Step-by-step explanation:

Solve for slope with the following equation:

<em>m </em>(slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(4 , -12) = (x₁ , y₁)

(-2 , 3) = (x₂ , y₂)

Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (3 - (-12))/(-2 - 4)

<em>m</em> = (3 + 12)/(-2 - 4)

<em>m </em>= (15)/(-6)

Simplify the slope:

<em>m</em> = -(15/6) = -5/2

-5/2 is your slope.

~

Anton [14]3 years ago
6 0

\text{Hey there!}

\bf\dfrac{y_2-y_1}{x_2-x_1}}\leftarrow\text{is the slope formula}

\bf{y_2=-12}\\\bf{y_1=3}\\\bf{x_2=4}\\\bf{x_1=-2}

\dfrac{-12-3}{4-(-2)}\\\\\\\text{-12 - 3 = -15}\\\\\\\text{4 - (-2) = 6}

= \dfrac{-15}{6}

\boxed{\boxed{\bf{Answer: \dfrac{-15}{6}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang
gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

        = x * (x + 9)

       = x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² +  9x

Use FOIL method

x*x  + x*12 + 3*x + 3*12 = 84 + x² + 9x

      x² + 12x + 3x + 36  = 84 + x² + 9x  {add the like terms}

             x² + 15x  + 36  = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

      6x - 48 = 0

             6x = 48

             x = 48/6

        x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0
3 years ago
Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
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Step-by-step explanation:

2 / 8 = 1/4

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chris has a collection of dimes and quarters worth $4.25. if she has 23 coins total, how many quarters does she have.
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Step-by-step explanation:

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The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠
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A parallelogram is a figure which has its <em>opposite</em> sides to be <u>equal</u> and <u>parallel</u>. The <em>missing</em> reason in the proof is:

B. Substitution Angle Angle Postulate.

A <em>parallelogram</em> is a type of quadrilateral that has its <u>opposite</u> sides to be equal and parallel. The sum of its <em>internal</em> angles is 360^{o}.

To <u>prove</u> that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

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Also,

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Therefore,

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A sketch is attached to this question for more clarifications.

Visit: brainly.com/question/3100335

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