SOLUTION: Write downthe equations of the lines that are parallel to 2y=5x+7, passing through (0,-3.5)

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Question 205141This question is from textbook Longman mathematics foe IGCSE book 1
: Write downthe equations of the lines that are parallel to
2y=5x+7, passing through (0,-3.5)
 This question is from textbook Longman mathematics foe IGCSE book 1

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel to 2y=5x+7, & passing through (0,-3.5)
2y=5x+7
y=5x/2+7/2
y=2.5x+3.5 (red line)
This line has a slope=2.5.
Thus any parallel line also has a slope=5/2.
Y=mX+b is the equation of the parallel line through (0,-3.5) with a slope=5/2.
-3.5=2.5*0+b
-3.5=b which is the y intercept of the parallel line.
y=2.5x-3.5 (green line).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2.5x+%2B3.5%2C+2.5x+-3.5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2.5x +3.5 and 2.5x -3.5).