Question

Which point slope equation represents a line that passes through (3, -2) with a slope of - 4/5

• y - 3 = -4/5 (x + 2)

• y - 2 = 4/5 (x - 3)

• y + 2 = -4/5 (x - 3)

• y + 3 = 4/5 (x + 2)

Answer 1

we know that
the equation of a line in the point slope form is
y-y1=m*(x-x1)

if m=-4/5 and the point is (3,-2)
the equation is
y-y1=m*(x-x1)------> y-(-2)=(-4/5)*(x-3)----> y+2=(-4/5)*(x-3)

the answer is
y + 2 = -4/5 (x - 3)