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Naddika [18.5K]
3 years ago
10

Find the equation of the line passing through the points (3,-2) and (4,6) in slope intercept form.​

Mathematics
1 answer:
noname [10]3 years ago
4 0

Hey!

------------------------------------------------

They already give us the slope, so we can solve the y-intercept.

We can use (3, -2).

y = 8x + b

-2 = 8(3) + b

-2 = 24 + b

-2 - 24 = 24 + b - 24

-26 = b

------------------------------------------------

Hence, the answer is \Large\boxed{\mathsf{y~=~8x~+~-26}}

------------------------------------------------

Hope This Helped! Good Luck!

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balu736 [363]

Step-by-step explanation: It should be the second answer.

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3 years ago
Given that the triangles are similar, find the value of x. Find the length of NR.<br> S<br> T<br> 40<br> 60<br> R<br> 2x-2<br> 8
andrew-mc [135]

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

\frac{40}{8} = \frac{60}{2x - 2}

5 = \frac{60}{2x - 2}

Cross multiply

5(2x - 2) = 60

10x - 10 = 60

10x = 60 + 10 (addition property of equality)

10x = 70

Divide both sides by 10

x = 7

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Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12

6 0
3 years ago
A gift basket has 2 soaps and 5 lotions and costs $20. A second basket has 6 spas and 15 lotions and cost $60. Is it possible to
kifflom [539]

A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that

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Step-by-step explanation:

Let s0ap be represented as x

and lotion be represented as y

2 soaps and 5 lotions costing  $20 gives us equation 1 as

2 x+ 5y= 20-------- equation 1

second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as

6x + 15y= 60------equation 2

Step 2 -- Solving

2 x+ 5y= 20-------- equation 1

6x + 15y= 60--------equation 2

BY elimination method, we  multiply equation 1 by (3)

2x + 5y= 20  x (3)

6x + 15y=60-------equation 3

Subtraction of equation 3 from equation 2 gives us

6x + 15y=60-------equation 3

-6x + 15y= 60--------equation 2

0x +0y=0  which is no solution

Therefore it is not possible to determine the price of the soap

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3 years ago
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Step-by-step explanation:

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54

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Put 4 in x's place

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