kamauryythomas15 kamauryythomas15
  • 02-09-2020
  • Mathematics
contestada

find an equation for the line with slope m=6/5 and which goes through the point (15,8)

Respuesta :

Stephen46
Stephen46 Stephen46
  • 02-09-2020

Answer:

The answer is

[tex]y = \frac{6}{5} x - 10[/tex]

Step-by-step explanation:

To find an equation of a line given a point and slope 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 the point is (15,8) and the slope is 6/5

Substitute the values into the above formula and solve

That's

[tex]y - 8 = \frac{6}{5} (x - 15) \\ y - 8 = \frac{6}{5} x - 18 \\ y = \frac{6}{5} x - 18 + 8[/tex]

We have the final answer as

[tex]y = \frac{6}{5} x - 10[/tex]

Hope this helps you

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