Answer:
y = -2/3x +23/3 is equation of line parallel to y= -2/3x +3 and passes through (7,3).
Step-by-step explanation:
We have given a equation of line and a point.
y = -2/3x+3 and (x₁,y₁) = (7,3)
We have to find the equation of parallel line and passing through the point.
y-y₁ = m(x-x₁) where m is slope and passes through (x₁,y₁).
Parallel lines have equal slopes.
Given line have slope equal to -2/3.
m = -2/3
y-(3) = -2/3(x-(7))
y-3 = -2/3x+14/3
y = -2/3x+14/3+3
y = -2/3x+(14+9/3)
y = -2/3x +23/3 which is the answer.