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marishachu [46]
2 years ago
10

A line passes through the point (-6,-9) and has a slope of 5/2.

Mathematics
2 answers:
mezya [45]2 years ago
8 0

(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \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-\stackrel{y_1}{(-9)}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{(-6)})\implies y+9=\cfrac{5}{2}(x+6) \\\\\\ y+9=\cfrac{5}{2}x+15\implies y=\cfrac{5}{2}x+6

NISA [10]2 years ago
6 0

Answer:

  y = 5/2x +6

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . line with slope m and y-intercept b

__

The above equation can be solved for b to give ...

  b = y -mx

Using the given values m = 5/2 and (x, y) = (-6, -9), we find b to be ...

  b = -9 -(5/2)(-6) = -9 +15 = +6

Then the slope-intercept equation is ...

  y = 5/2x +6

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Solve the system: <br> 2x+6y=36<br> x+4y=20
Assoli18 [71]

<u>Let's solve this problem step-by-step</u>

<u>Let's set</u>:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

<u>Thus x = 12 and y = 2</u>

<u>Let's check, by substituting these values</u>

  2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20

<u>Answer: x = 12 and y = 2</u>

Hope that helps!

5 0
2 years ago
For the equation below, x is the input and y is the output. y = -4x + 3 If the input is -8, then the output is
KonstantinChe [14]

Answer:

35

Step-by-step explanation:

If is given the value -8 as it is the input then -->

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Negative four times negative 8 is positive 32 so

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And 32 plus 3 is 35


7 0
3 years ago
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4 0
3 years ago
Please help me answer this <br> Will give Brainly
zmey [24]

Answer:

9.103

10. 77

11.60

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DEG = 180 - 103 = 77 angles on a straight line equals 180

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where a = length

b = base

c =  hypotenuse

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squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

5 0
2 years ago
1. Write two different equations whose solutions are 5 .
vovangra [49]
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