What is the slope-intercept form of #13x+2y=12 #?

1 Answer
Dec 30, 2015

Answer:

The equation of a line represented in the form #y=mx+b# is known as the slope-intercept form. Step by step working is shown to get the solution.

Explanation:

The given equation is #13x+2y=12#
To get this into the form #y=mx+b#
#m# is the slope and #b# is the #y#-intercept.

Solve the given equation for #y# and we would get what we wanted.

#13x+2y=12#
Subtract #13x# from both the sides. This is done to get #y# term all alone on the left side of the equation.

#13x+2y-13x=12-13x#
#2y=12-13x#

We still have a #2# which is multiplied with #y# and we want #y# isolated. For this, we shall use the opposite operation of multiplication which is division.

The next step is to divide both sides by #2#

#(2y)/2=12/2-(13x)/2#

#y = 6 - 13/2x#

Let us rewrite this in the form #y=mx+b#

#y=-13/2x + 6# This is the slope-intercept form of the line.