The equation of line parallel to y = -2/3x + 3 and passing through (7, 3) will be y = -2/3 x + 23 / 3. Then the correct option is C.
What are parallel lines?
When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.
The equation of a line is given below.
y = -2/3 x + 3
Then the slope of the line will be
m = -2/3
Then the equation line which is having a slope of - 2/3 will be
y = -2/3 x + c
The line is passing through (7, 3). Then we have
3 = -(2/3) (7) + c
3 = -14/3 + c
c = 3 + 14/3
c = 23/3
Then the equation will be
y = -2/3 x + 23 / 3
Then the correct option is C.
More about the parallel lines link is given below.
https://brainly.com/question/16701300
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