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saw5 [17]
2 years ago
15

+

Mathematics
1 answer:
irga5000 [103]2 years ago
7 0
152*3=456............,
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Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).
Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

<em><u>Recall:</u></em>

  • Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.
  • The equation of a line in point-slope, y - y_1 = m(x - x_1), can be rewritten in the standard form.
  • Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Given: (−6, 19) and (−15, 28)

<em>Find the </em><em>slope </em><em>(m):</em>

<em />m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1

Write the equation in point-slope form by substituting m = -1 and (x_1, y_1) = (-6, 19) into y - y_1 = m(x - x_1).

y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)

  • Rewrite in standard form

y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

brainly.com/question/19169731

7 0
1 year ago
Find the value of..<br><br>​
Zina [86]

Step-by-step explanation:

[1/2]^-2= 4

[1/3]^-2=9

[1/4]^-2=16

So sum is 4+9+16=29

Hope this helps you.

6 0
2 years ago
Solve the system by substitution.<br> y = 3x + 28<br> y = -4x
Mazyrski [523]

Answer:

(-4, 16)

Step-by-step explanation:

3 0
2 years ago
I don’t understand this
kumpel [21]

Answer: a=x represents sinks

b=the amount of money he will spend overall on the sink and sealent

c= 100x represents 100 sinks

d=joe will have to charge 85 dollars per sink

Step-by-step explanation:

8 0
3 years ago
14 ft ? 4 yd is &lt;,&gt;,or =
zubka84 [21]
14 feet is larger because 1 yard is 3 feet. so 4*3=12 ft, and 12ft is less than 14 ft
8 0
3 years ago
Read 2 more answers
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