What is the equation of the line with slope # m= -17/25 # that passes through # (47/5 32/10) #?

2 Answers
Jul 5, 2018

#y=-17/25*x+1199/125#

Explanation:

Such an equation has the form

#y=mx+n# where #m# is the slope and #n# the y intercept.

So we get
#y=-17/25*x+n#
plugging #x=47/5# and #y=32/10# in the equation above we can calculate #n#:

#32/10=-17/25*(47/5)+n#

doing this we get

#n=1199/125#

Jul 5, 2018

#color(indigo)(85x + 125y + 424 = 0#

Explanation:

# y - y_1 = m(x - x_1)#

#"Given : " (x_1, y_1) = (47/5, 32/10), " Slope " = m = -17/25#

#color(crimson)((y - 32/10) = (-17/25) * (x - 47/5)#

#(10y - 32 ) * 125 = -17 * 10 * (5x - 47) #

#1250y - 3750 = -850x - 7990#

#850x + 1250y = -7990 + 3750 = -4240#

#color(indigo)(85x + 125y + 424 = 0#