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

##### 1 Answer

May 5, 2016

#### 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#