Question

What is the equation of a line , in a slope -intercept form , that passes through (5,-3) and has a slope of 2/3? A. y-3= 2/3(x+5) B. y-5=2/3(x+3) C.y+3=2/3(x-5) D. y+5=2/3(x-3)

Answer 1

Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.

y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) = 
y + 3 = 2/3(x - 5) <=== ur answer in point slope form