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"