kimberlyontiveros56 kimberlyontiveros56
  • 03-03-2020
  • Mathematics
contestada

If (6,39) and (-5,-49) are two anchor pint find the equation of the line

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-03-2020

Answer:

[tex]y =8x+9[/tex]

Step-by-step explanation:

The points are (6,39) and (-5,-49)

We need to find the equation of this line.

The slope is given by:

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

[tex]m = \frac{ - 49 - 39}{ - 5 - 6} [/tex]

[tex]m = \frac{ - 88}{ - 11} [/tex]

[tex]m = 8[/tex]

We use the formula:

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

We substitute the point (6,39) and m=8 to get:

[tex]y - 39 = 8(x - 6)[/tex]

We expand to obtain:

[tex]y - 39=8x-48[/tex]

[tex]y =8x-48 + 39[/tex]

[tex]y =8x + 9[/tex]

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