What is the slope of 32=-42y+5x32=42y+5x?

1 Answer
Mar 9, 2016

Gradient (slope) is 5/42542

Explanation:

color(blue)("By sight: slope is "5/42)By sight: slope is 542

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color(blue)("By algebraic manipulation")By algebraic manipulation

Multiply both sides by (-1) giving to give us a positive yy

-32=42y-5x32=42y5x

Add 5x5x to both sides

42y=5x-3242y=5x32

Divide both sides by 42

y= 5/42x-32y=542x32

The coefficient of x" is "5/42x is 542

color(blue)("Gradient (slope) is "5/42)Gradient (slope) is 542