What is the slope-intercept form of the line passing through # (-4, 1) # and #(4,2) #?

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Answer 1 · 2017-03-28T07:51:35

#y=1/8x+3/2#

If two points are know we can find the eqn as follows:

#"given "(x_1,y_1)" "(x_2,y_2)#

#"eqn. " "(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)#

we have#" " (x_1,y_1)=(-4,1)" "(x_2,y_2)=(4,2)#

#(y-1)/(2-1)=(x- -4)/(4- -4)#

#(y-1)/1=(x+4)/(4+4)=(x+4)/8#

#y-1=1/8x+1/2#

#y=1/8x+3/2#