denisepacheco denisepacheco
  • 04-05-2018
  • Mathematics
contestada

What is the equation of the line that passes through (7, 4) and (4, -2)?
a) y = 2x - 10
b) y = -2x - 10
c) y = -2x + 18
d) y = 2x + 18

Respuesta :

apocritia
apocritia apocritia
  • 21-08-2018

Solution:

we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).

First we will find the slope of the line using the formula

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]

Plugin the given values we get

[tex] m=\frac{-2-4}{4-7}=\frac{-6}{-3}=2 [/tex]

Now using the point slope form of a straight line

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

Plugin the values

[tex] (y-4)=2(x-7)\\
\\
y=2x-14+4\\
\\
y=2x-10\\ [/tex]

Hence the correct option is a.


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