Question

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)

Answer 1

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!!

Answer 2

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)