How do you write an equation in standard form with integer coefficients for the line with slope 17/12 going through the point (-5,-3)?

1 Answer
May 3, 2018

#17x-12y=-49#

Explanation:

The equation is like that:
#y=mx+b#
#m# is the slope which equals to #17/12#
#x=-5#
#y=-3#
#b# is the intercept.

So
#-3=17/12*(-5)+b#
#-3=-85/12+b#
#-3+85/12=b#
#-36/12+85/12=b#
#49/12=b#

An equation in standard form:
#y=17/12x+49/12#
#y*12=17/12*12+49/12*12#
#12y=17x+49#
#17x-12y=-49#