# 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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> 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      Log On

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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)-2This 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