jxcelynnn0604 jxcelynnn0604
  • 17-09-2020
  • Mathematics
contestada

What is an equation in point-slope form of the line that passes through the point (8,5) and has slope -7?

Respuesta :

Stephen46
Stephen46 Stephen46
  • 17-09-2020

Answer:

The answer is

[tex]y = - 7x + 61[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question

slope = - 7

the point is (8,5)

The equation is

[tex]y - 5 = - 7(x - 8) \\ y - 5 = - 7x + 56 \\ y = - 7x + 56 + 5[/tex]

We have the final answer as

[tex]y = - 7x + 61[/tex]

Hope this helps you

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