Question

What is the slope of the line 6x+5y=10 ?

Answer 1

`-\frac 65`

Explanation:

`~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \frac 15(10-6x)\\\\\implies y=-\frac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\frac 65`