Question #aa9ba

2 Answers
Apr 6, 2017

#3y-4x+39=0#

Explanation:

THE POINT SLOPE FORM:-
if a line passes through a point #(a, b)# and has a slope #m# the its equation can be written in point slope form as follows:-
#color(red)(y-b=m(x-a))#

In the given problem;
1. #(a, b) = (9, -1)#
2. #m=4/3#
#therefore# the equation of this line becomes
#y-(-1)=4/3*(x-9)#
#implies 3*(y+1)=4*(x-9)#
#implies 3y+3=4x-36#
#implies color(red)(3y-4x+39=0)# is the required equation

Apr 6, 2017

#y+1=4/3(x-9)#

Explanation:

The equation of a line in #color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and # (x_1,y_1)" a point on the line"#

#"here " m=4/3" and " (x_1,y_1)=(9,-1)#

#rArry-(-1)=4/3(x-9)#

#rArry+1=4/3(x-9)larrcolor(red)" in point-slope form"#