Answer:
y = 2x/3 + 10 ; C
Explanation:
To write the equation of a straight line, we have the general form as;
y = mx + b
where m is the slope and b is the y intercept
Mathematically from the equation given, the slope value is 2/3
When two lines are parallel to each other , the value of their slopes are the same
What this mean is that the value of the slope of the second line is 2/3
So we have the second line as;
y = 2x/3 + b
To get the value of b, we use the given point where the line passes through
The given point according to the question is the point (6,14)
so using this coordinates, we have
14 = 2/3(6) + b
14 = 4 + b
b = 14-4
b = 10
So the equation of the new line is;
y= 2/3x + 10