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miss Akunina [59]
3 years ago
6

Use the coordinates of the labeled points to find a point-slope equation of the line. (3,-4)

Mathematics
2 answers:
DIA [1.3K]3 years ago
8 0

Answer: y+4=-3(x-3)

Step-by-step explanation:

The point-slope equation of a straight line is:

y-y_{1}=m(x-x_{1}  )

where m is the slope and (x_{1}, y_{1}  ) are the coordinates of a point in the line.

So, to find the equation, the firs step is to find the slope. We can see in the graphic that the line intercepts the y axis at the point (0, 5), so we're going to use that and the other given point to find the slope:

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}} =\frac{-4-5}{3-0} =\frac{-9}{3}=-3

Then, you simply substitute the slope and the coordinates of the point and you get the point-slope equation:

y-(-4)=-3(x-3)\\y+4=-3(x-3)

seropon [69]3 years ago
6 0

Answer:

slope=-3  

y=-3x+5

Step-by-step explanation:

use two given points (3,-4)(0,5)

5- -4= 9

0-3=-3

9/-3=-3

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