How to write the slope intercept form of the equation of the line with m = 3, point (2, 1)?

Question

4556 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-06T15:46:18

The Slope-Intercept equation of the line is #y=3x-5#

The slope-intercept form of the equation of a line is #y=mx+b#

where #m=# slope and #b=# the y-intercept

In order to determine this we can begin with the point-slope formula which is #(y-y_1)=m(x-x_1)#

For this situation we are given the slope of #3# and a point of #(2,1)#

#m=3#
#x_1=2#
#y_1=1#

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

#(y-1)=3(x-2)#

#y-1=3x-6#

#y cancel(-1) cancel(+1)=3x-6 + 1#

#y=3x-5#