SOLUTION: write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form. (4,-2),x=(5/4y)-2

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Question 77936This question is from textbook Intermediate Algebra
: write an equation of the line that passes through the given point and is parallel to the given line. Write the answer in slope-intercept form.
(4,-2),x=(5/4y)-2
This question is from textbook Intermediate Algebra

Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
X=5/4Y-2
5/4Y=X+2
Y=X*4/5+2*4/5
Y=4X/5+8/5 NOW SUBSTITUTE THE POINTS (4,-2) FOR X & Y AND SOLVE FOR THE Y INTERCEPT(b). THE SLOPES (4/5 ARE THE SAME BEWCAUSE THE LINES ARE PARALLEL.
-2=4/5*4+b
b=-2-16/5
b=(-10-16)/5
b=-26/5 SO THE EQUATION IS
Y=4/5X-26/5

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