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mezya [45]
3 years ago
8

A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)


now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,


\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft

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Answer:

9/5

Step-by-step explanation

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3 years ago
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The irrational numbers are: √8, √10 and √15

Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

\sqrt{4} = 2

Which can be written in the required form so √4 is a rational number

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\sqrt{10}=3.16227766016837933....

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

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The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

  • brainly.com/question/3375830
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#LearnwithBrainly

4 0
3 years ago
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yarga [219]
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2 years ago
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Hope I helped :)

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Hello!

2.x^2 - 1 = 2.3^2 - 1 = 2.9 - 1 = 18-1 = 17

Good luck!

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3 years ago
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