How do you write an equation in standard form for a line passing through E(-2, 2), F(5, 1)?

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Answer 1 · 2018-07-24T16:33:06

The equation of line #EF# is :
#x+7y=12 or x+7y-12=0#

Point-Slope equation of a line

#"If a line passes through points "A(x_1,y_1)and B(x_2,y_2) ,then#

#"eqn. of the line is : for" (x_1!=x_2)#

#y-y_1=m(x-x_1) ," where ,the slope of line" =m=(y_2-y_1)/(x_2-x_1)#

Here, #E(-2,2) and F(5,1)#

#:."Slope of line"=m=(1-2)/(5-(-2))#

#:.m=(-1)/7" and passes through F(5,1)"#

So ,eqn. of line #EF# is:

#y-1=-1/7(x-5)=>7y-7=-x+5#

#=>7y+x=7+5#

#=>x+7y=12 or x+7y-12=0#