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_____1The line passes through points (2, 6) and -2, -6). What is the equation of the line in slope- intercept forni?​

Sagot :

✏️ Equation of a Line

[tex] {\Large{\overline{\underline{\sf{\hookrightarrow Answer:}}}}} [/tex]

  • The equation of the line is y = 3x.

Solution:

Given that:

  • [tex] \sf (x_{1},\:y_{1})[/tex] = (2, 6); and
  • [tex] \sf (x_{2},\:y_{2})[/tex] = (-2, -6),

Substitute these points in the two-point form of the equation of a line.

[tex] {\large{\boxed{\sf{y - y_1 =\frac{y_2 - y_1}{x_2 - x_1}(x - x_1)}}}} [/tex]

  • [tex] \sf{y - 6 =\frac{-6 - 6}{-2 - 2}(x - 2)} [/tex]

  • [tex] \sf{y - 6 =\frac{-12}{-4}(x - 2)} [/tex]

  • [tex] \sf{y - 6 = 3(x - 2)} [/tex]

  • [tex] \sf{y - 6 = 3x - 6} [/tex]

  • [tex] \sf{y = 3x - 6 + 6} [/tex]

  • [tex] {\underline{\green{\sf{y = 3x}}}} [/tex]

[tex]{\: \:}[/tex]

[tex] {\huge{\overline{\sf{Hope\:It\:Helps}}}} [/tex]

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