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The points (2,5), (3, 3) and (k, 1) all lie in a straight line.

(a) Find the value of k.​
(b) find the equation of the line

 Sep 7, 2020
 #1
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The points (2,5), (3, 3) and (k, 1) all lie in a straight line.

(a) Find the value of k.​
(b) find the equation of the line

 

Hello Guest!

 

b)

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-5}{3-2}=-2\)

\(y=m(x-x_1)+y_1\\ y=-2(x-2)+5\)

\(y=-2x+9\)

 

a)

\(1=-2k+9\\ 2k=8\)

\(k=4\)

laugh  !

 Sep 7, 2020

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