Question

Using slope concept show that the points V(-7, 8), W(-5, 2) and U(3, 6) are:

• A. are collinear
• B. not collinear
• C. are not defined
• D. cannot be plotted

Answer 1

Answer: (B)

not collinear

$ThegivenpointsareV(x_1,y_1)=(-7,8),W(x_2,y_2)=(-5,2)\&U(x_3,y_3)=(3,6).Nowif3pointsV(x_1,y_1),W(x_2,y_2)\&U(x_3,y_3)arecollinearthenslope{m}_{VW}=slope{m}_{WU}=slope{m}_{VU}..slope{m}_{VW}=\frac{y_2-y_1}{x_2-x_1}=\frac{2-8}{-5+7}=-3,slope{m}_{WU}=\frac{y_3-y_2}{x_3-x_2}=\frac{6-2}{3+5}=\frac{1}{2}andslope{m}_{VU}=\frac{y_3-y_1}{x_3-x_1}=\frac{6-8}{3+7}=-\frac{1}{5}.\therefore slope{m}_{VW}\ne slope{m}_{WU}\ne slope{m}_{VU}.\therefore ThepointsV,W\&Uarenotcollinear.Ans-OptionB.$