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4vir4ik [10]
3 years ago
6

Write the equation of the line passing through the points (-4,-1) and (2,8)

Mathematics
1 answer:
klio [65]3 years ago
7 0
<h3><u>Explanation</u><u>:</u></h3>
  • Calculate the slope with two given coordinate points by using rise over run.

m =  \frac{y_2 - y_1}{x_2 - x_1}

Let these points

\begin{cases}(x_1, y_1) = ( - 4,  - 1) \\ (x_2, y_2) = ( 2,  8) \end{cases}

m =  \frac{8 - ( - 1)}{2 - ( - 4)}  \\ m =  \frac{8 + 1}{2 + 4}  \Longrightarrow \frac{9}{6}  \Longrightarrow \frac{3}{2}  \\ m =  \frac{3}{2}

  • Slope-Intercept

y = mx + b \\ m = slope \\ b = y - intercept

Substitute the value of m in the equation.

y =  \frac{3}{2} x + b

  • Substitute any coordinate points that are given or part of the graph in the equation.

(x_, y) = ( - 4,  - 1)

- 1 =  \frac{3}{2} ( - 4) + b

  • Solve the equation for b-term.

- 1 =  \frac{3}{ \cancel{2}} ( \cancel{ - 4})   + b\\  - 1 = 3( - 2) + b \\  - 1 =  - 6 + b \\  - 1 + 6 = b \\ 5 = b

  • Rewrite the equation by substituting the value of b in the equation.

y =  \frac{3}{2} x + 5

<h3><u>Answer</u></h3>

\large \boxed{y =  \frac{3}{2} x + 5}

<em>If</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>any</em><em> </em><em>questions</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em><em>,</em><em> </em><em>feel</em><em> </em><em>free</em><em> </em><em>to</em><em> </em><em>ask</em><em> </em><em>via</em><em> </em><em>comment</em><em>.</em>

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Needed help for my math please
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




6 0
3 years ago
Someone help me with my math homework pleaseee. Find the volumes of the pyramids and the height is 7cm for the first one.
gregori [183]
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now the last one on the far-right

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Top 1. Substitute 3y on both sides of the equation.
Bottom 2. Substitute 2y on both sides of the equation

3y and 2y cancel

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I have not done this for years but there is many calculators that can show you step by step online. I recommend using these
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What is distance with example?

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Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

=384000×1000m  [∵1km=1000m]

=384× 10^{6} m

=3.84× 10^{8} m

Learn more about distance

brainly.com/question/22698433

#SPJ4

<u>The correct question is -</u>

The distance between the Earth and the moon is approximately 384000 km.  this distance can be expressed as ____m.

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Step-by-step explanation:

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