What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6?

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Answer 1 · 2018-06-25T12:42:11

#3x+5y=123#

Let's write this equation in point-slope form before converting it into standard form.

#y=mx+b#
#24=-0.6(1)+b#
#24=-0.6+b#
#24.6=b#
#y=-0.6x+24.6#

Next, let's add #-0.6x# to each side to get the equation in standard form. Remember that each coefficient MUST be an integer:

#0.6x+y=24.6#
#5*(0.6x+y)=(24.6)*5#
#3x+5y=123#