A line with a slope of 2 passes through (3, 9). What is the equation of the line?

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Answer 1 · 2015-11-13T14:58:19

Equation of the line is #2x# - #y# + #3# = #0#.

Solution:
Here the slope of the line = m = 2

The line passes through the point (#x_1#, #y_1#) = (#3# , #9#).

The equation of the line with slope #m# and passing through the

point (#x_1#, #y_1#) is given by

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

(#y# - #9#) = #2# ( #x# - #3#)

#y# - #9# = #2x# - #6#

Collecting terms in one side

#0# = #2x# - #y# - #6# + #9#

#2x# - #y# + #3# = #0#

Hence#2x# - #y# + #3# = #0# is the required equation of the line.