What is the slope intercept form of the line with a slope of #-2 # that passes through # (6,4) #?

2 Answers
Dec 31, 2015

Answer:

#y=16-2x#

Explanation:

Slope #m=-2#
co-ordinates #(6, 4)#

Slope Intercept of the equation

#y-y_1=m(x-x_1)#
#y-4=-2(x-6)#
#y-4=-2x+12#
#y=-2x+12+4#
#y=-2x+16#
#y=16-2x#

Dec 31, 2015

Answer:

The slope intercept form of the line is #y=mx+b# where #m# is the slope and #b# is y-intercept.
The equation of the line is #y=-2x+16#
One of the approaches to get the solution is given below.

Explanation:

Slope-intercept form of the line #y=mx+b#
Given slope #m=-2# and a point #(6,4)# which lies on the line.

Plug in the values for #m#, #x# and #y# and solve for #b#

#4=-2(6)+b#
#4=-12+b#
#4+12=b#
#16=b#

The equation of the line is #y=-2x+16#