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Which equation is in point-slope form and is depicted by the line in this graph?


a) (y - 3 ) = 3/5 ( x - 2 )
b) (y - 3 ) = - 3/5 ( x + 2 )
c) (y - 3 ) + 5/3 ( x - 2 )
d) (y + 3 ) - 5/3 ( x + 2)

Which equation is in pointslope form and is depicted by the line in this graph a y 3 35 x 2 b y 3 35 x 2 c y 3 53 x 2 d y 3 53 x 2 class=

Respuesta :

ellagrace14
The correct answer would be B.i hope that helped!! if you have any questions or concerns about the answer i gave you please feel free to let me know!!
carlosego
The first thing you should do in this case is to write the equation in its generic form.
 We have then:
 y-yo = m (x-xo)
 We look for the slope:
 m = (y2-y1) / (x2-x1)
 m = (0-3) / (3 - (- 2))
 m = -3 / 5
 We choose any point of the line:
 (xo, yo) = (- 2, 3)
 We substitute the values in the generic equation:
 y-3 = -3 / 5 (x - (- 2))
 We rewrite:
 y-3 = -3 / 5 (x + 2)
 Answer: 
 b) (y - 3) = - 3/5 (x + 2)

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