Question

Find the gradient of a line with the following equations 3y+6x =12​

Answer 1

Hi there!

`\large\boxed{\text{gradient = -2}}`

Recall the equation:

y = mx + b, where:

m = slope, or gradient of a line

Rewrite this expression into the above format:

3y + 6x = 12

Isolate y by subtracting 6x from both sides of the equal sign:

3y + 6x - 6x = 0x -6x + 12

3y = -6x + 12

Divide all terms by 3:

y = -2x + 4

Thus, the gradient is -2.