Question

How do you find the slope given `4x+5y= -2`?

Answer 1

`-4/5`

Explanation:

The equation of a line in the form y = mx + c ,where m represents the gradient (slope) and c , the y-intercept is useful as we can extract m and c 'easily'

If we rearrange 4x + 5y = -2 into this form then the slope may be extracted.

leave 5y on the left and shift 4x to the right (remember to subtract)

hence 5y = -4x -2

divide all terms by 5

`rArrcancel(5)y/cancel(5)=(-4)/5x-2/5`

so y =`-4/5x-2/5" is now in the form y=mx+c"`

`rArr "slope"=-4/5`