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Sagot :
First, we need to find the slope of the equation;
y=2/3x-1
To find the slope, compare the equation with y=mx + b
where m is the slope and b is the intercept
Comparing the two equations, m= 2/3
Slope of parallel equations are equal, hence, the slope of our new equation is 2/3
We will go ahead and find the intercept of the new equation
Substitute m= 2/3 x=12 and y=5 into y=mx + b and solve for b
That is;
y = mx + b
5 = (2/3)(12) + b
5 = 8 + b
subtract 8 from both-side of the equation
5 - 8 = b
- 3 = b
b= -3
To form the new equation
Substritute m = 2/3 and b= -3 into
y=mx + b
y = 2/3 x - 3
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