0 Deepak BoraNewbie Asked: July 8, 20202020-07-08T10:52:05+05:30 2020-07-08T10:52:05+05:30In: ICSE Equation of a straight line 0 Find the equation of the line passing through the points A(-1,3) and B(0,2).Hence,show that the points A,B and C(1,1) are collinear. equation of straight lineslope Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-08T18:32:32+05:30Added an answer on July 8, 2020 at 6:32 pm The line is passing through the points A(-1,3) and B(0,2) m=y2-y1/x2-x1 = 2-3/0+1 = -1/1 = -1 ∴ equation (y-y1) = m(x2-x1) (y-3) = -1(x+1) y-3 = -x-1 ∴ X+y = 2 Now if points A,B and C are collinear then they must lie on the same straight line,which means point C must lie on the line of A and B ∴C(1,1) Substituting the values in equation x+y= 2 1+1= 2 2 = 2 ∴ A,B and C are collinear 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions A straight line makes on the coordinate axes positive intercepts whose sum is 7.If the line passes through ... The vertices of a triangle ABC are (3,8) , B(-1,2), C(6-6). Find: 1. The slope of BC , ... what is the formula to find the slope of a straight line? Find the equation of the line whose x- intercept is 6 and y- intercept is -4.

The line is passing through the points A(-1,3) and B(0,2)

m=y2-y1/x2-x1

= 2-3/0+1

= -1/1

= -1

∴ equation (y-y1) = m(x2-x1)

(y-3) = -1(x+1)

y-3 = -x-1

∴ X+y = 2

Now if points A,B and C are collinear then they must lie on the same straight line,which means point C must lie on the line of A and B

∴C(1,1)

Substituting the values in equation

x+y= 2

1+1= 2

2 = 2

∴ A,B and C are collinear