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3 years ago

Find the value of r so that the line through (4,5) and (r,3) has a slope of 2/3

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

3 0

Answer:

The value of r is 1

(1,3)

Step-by-step explanation:

First you have to plot (4,5)

Then you do rise over run

you go you 2 and then to the left 3

Hope this helps

Stay safe:)

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Need to show my work

dalvyx [7]

Answer:

$\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}$

$\text{Put the value of}\ x\ \text{to (1)}\\\\y=\dfrac{3}{4}\cdot\dfrac{5}{4}\\\\y=\dfrac{15}{16}$

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4 years ago

Read 2 more answers

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miv72 [106K]

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3 years ago

What is 8.57 in fraction or mixed number as a decimal

aivan3 [116]

To write 8.57 as a fraction you have to write 8.57 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
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And finally we have:
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gogolik [260]

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