How do you find the slope given #4x+5y= -2#?
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
so y =
#-4/5x-2/5" is now in the form y=mx+c"#