Question

A line has equation y=-½x−3
Find the gradient.

Answer 1

gradient is 1/2 = 0.5

Explanation:

y= 1/2 x−3

Swap sides so that all variable terms are on the left hand side.

1/2 x−3=y

Add 3 to both sides.

1/2 x=y+3

Multiply both sides by 2.

1/2 x = 1/2 y+3

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Dividing by 1/2 undoes the multiplication by 1/2

x= 1/2 y+3

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Divide y+3 by 1/2 by multiplying y+3 by the reciprocal of 1/2

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.

x=2y+6