Answer:
y + 2 = [tex]\frac{2}{3}[/tex](x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 = [tex]\frac{2}{3}[/tex](x - 3) ← is in point- slope form
with slope m = [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus equation of parallel line
with m = [tex]\frac{2}{3}[/tex] and (a, b) = Q(1, - 2) is
y - (- 2) = [tex]\frac{2}{3}[/tex](x - 1) , that is
y + 2 = [tex]\frac{2}{3}[/tex](x - 1)
