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Slav-nsk [51]
2 years ago
7

Write the equation through (2,5) parallel to the line through (8,0) and (0,8)

Mathematics
1 answer:
klio [65]2 years ago
6 0

Answer:

y = -x + 7

Step-by-step explanation:

As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run').  Thus, the slope of this line is m = rise/run = 8/(-8) = -1.

Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:

0 = -1(8) + b, or b = 8

Then the equation of the line through the two given points is y = -x + 8.  Any line parallel to this one has the same slope:  m = -1.

Repeat the above work to find the y-intercept of the line parallel to y = -x + 8  that goes through (2, 5):

5 = -2 + b, or b = 7

Then the desired line (final answer) is y = -x + 7

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IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

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f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

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3 years ago
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Step-by-step explanation:

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3 0
2 years ago
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Step-by-step explanation:

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Ierofanga [76]

Answer:

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It is well you should not understand it. <em>No question is asked</em>.

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4 I think is the right answer but I’m not sure so sorry if u get this wrong
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