Question

What is the slope of `7y=1/3y-x+1`?

Answer 1

`" slope " = -3/20`

Explanation:

To obtain the slope , rearrange the equation into the form y = mx +c.
where m represents the gradient (slope) of the line.

Firstly , multiply both sides of the equation by 3 , to eliminate the fraction.

hence : 21y = y - 3x + 3 → 20y = - 3x + 3

divide both sides by 20 to obtain slope.

`rArr( cancel(20) y)/cancel(20) = -3/20 x+ 3/20`

and now the slope is the coefficient of x

`rArr " slope " = -3/20`