How do you find the slope of #5x + 3y = -2#?
1 Answer
Jun 25, 2016
slope
Explanation:
The equation of a line in
#color(blue)"slope-intercept form"# is
#color(red)(|bar(ul(color(white)(a/a)color(black)(y=mx+b)color(white)(a/a)|)))#
where m represents the slope and b, the y-intercept.The advantage to having the equation in this form is that m and b can be extracted 'easily'.
Rearrange 5x + 3y = - 2 into this form.
leave 5y on the left and move 5x to the right.
subtract 5x from both sides
#cancel(5x)+3y-cancel(5x)=-2-5xrArr3y=-2-5x# now divide both sides by 3
#(cancel(3) y)/cancel(3)=-2/3-(5)/3 x#
#rArr"slope" =-5/3#