MATHEMATICS MIDDLE SCHOOL

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.(–2, 0) and (2, 5)

(–4, 5) and (4, –5)

(–3, 4) and (2, 0)

(1, –1) and (6, –5)

(2, –1) and (10, 9)

Answers

Answer 1
Answer:

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{4}\implies \cfrac{5}{4}}} \n\n[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \n\n\n slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-0}{2-(-2)}\implies \cfrac{5}{2+2}\implies \cfrac{5}{4} \n\n[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{9}) \n\n\n slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-1)}{10-2}\implies \cfrac{9+1}{8}\implies \cfrac{10}{8}\implies \cfrac{5}{4}
Answer 2
Answer:

Answer: Im pretty sure it answer options 1 and 5

Step-by-step explanation: 1) (-2,0) and (2,5)      5) (2,-1) and (10,9)

its on edg.

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Answers

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