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Darina [25.2K]
2 years ago
7

Indicate the equation of the line meeting the given conditions. Put the equation in standard form.

Mathematics
1 answer:
horsena [70]2 years ago
8 0

Answer:

x + y = 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = E (4, 3 ) and (x₂, y₂ ) = A (6, 1 )

m = \frac{1-3}{6-4} = \frac{-2}{2} = - 1 , then

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 3 )

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - x + 7 ← equation in slope- intercept form ( add x to both sides )

x + y = 7 ← equation in standard form

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1" title=" \fra
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