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# algebra question

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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
+10829
+1

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)

$$1=-2k+9\\ 2k=8$$

$$k=4$$

!

Sep 7, 2020