AkikoU31194 AkikoU31194
  • 25-10-2022
  • Mathematics
contestada

Which of the following equations represents a line that passes through thepoints (6,-5) and (-6, -7)?

Respuesta :

ReiderK628066 ReiderK628066
  • 25-10-2022

Problem

Which of the following equations represents a line that passes through the

points (6,-5) and (-6, -7)?

Solution

For this case the equation for a line is given by:

y= mx +b

And we can find the slope m with this formula:

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

And replacing we got:

[tex]m=\frac{-7+5}{-6-6}=\frac{-2}{-12}=\frac{1}{6}[/tex]

Then we can find the intercept with this formula:

-5 = 1/6 (6)+b

And solving for b we got:

b= -5-1 =-6

And our equation would be:

y= 1/6 x -6

And the best option would be:

I.

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