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Indicate the equation of the line meeting the given conditions. Put the equation in standard form.
Containing E(4, 3) and F(6, 1)

Sagot :

Fieryanswererftidn

Answer:

x + y = 7

Explanation:

slope formula:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Find slope: given points: E(4, 3), F(6, 1)

[tex]\sf slope \ (m) : \dfrac{1-3}{6-4} = -1[/tex]

Find Equation: [tex]y - y_1 = m(x -x_1)[/tex]

[tex]\sf y - 3 = -1(x - 4)[/tex]

[tex]\sf y = -x + 4 + 3[/tex]

[tex]\sf y = -x + 7[/tex]

[tex]\sf x + y = 7 \quad (in \ standard \ form \ \rightarrow Ax + By = C)[/tex]

MisterBrainlyidn
  • (4,3)
  • (6,1)

Slope of the line

  • m=(1-3)/6-4
  • m=-2/2
  • m=-1

Equation in point slope form

  • y-3=-1(x-4)
  • y-3=-x+4
  • y=-x+7
  • x+y=7
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