Question

What is the equation of a line, in point- slope 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

if a line passes through (a, b) and has slope m.. then line is given by
$(y - b) = m(x - a)$
here a=5 , b=-3 , m=2/3
eqn becomes

$y + 3 = ( \frac{2}{3} )(x - 5)$
hence option(c) is answer.....


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