Question

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

Answer 1

Answer:

$-\dfrac 65$

Step-by-step explanation:

$~~~~~~~6x +5y = 10\\\\\implies 5y = 10-6x\\\\\implies y = \dfrac 15(10-6x)\\\\\implies y=-\dfrac65x+2\\\\\text{It is now in slope-intercept form(y=mx+c), where m is the slope.}\\ \\\text{Hence,}~ m = -\dfrac 65$