How do you write a equation in slope intercept form of the line passing through the given points (0,7) , (1,9)?

1 Answer
Alan P.
Jun 15, 2017

#y =2x+7#

Explanation:

Given
#color(white)("XXX")(x_1,y_1)=(0,7)# and
#color(white)("XXX")(x_2,y_2)=(1,9)#

The (y) intercept is the value of #y# when #x=0#
#color(white)("XXX")#given the point #(x_1.,y_1)=(0,7)#
#color(white)("XXX")#the (y)intercept is #b=7#

The slope of a line between two points is
#color(white)("XXX")m=(y_2-y_1)/(x_2-x_1)#
#color(white)("XXX")#for the given points (above), the slope is
#color(white)("XXX")m=(9-7)/(1-0)=2#

The slope-intercept form for a line with slope #m# and (y) intercept #b# is
#color(white)("XXX")y=mx+b#
#color(white)("XXX")#using the values we have just determined for #m# and #b#
#color(white)("XXX")y=2x+7#

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