Q:

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.A - (–2, 0) and (2, 5)B - (–4, 5) and (4, –5)C - (–3, 4) and (2, 0)D - (1, –1) and (6, –5)E - (2, –1) and (10, 9)

Accepted Solution

A:
Answer:A and EStep-by-step explanation:A line has a slope of -4/5, then a perpendicular line has a slope 5/4, because[tex]-\dfrac{4}{5}\cdot \dfrac{5}{4}=-1[/tex]Find the slopes of the lines in all options:A. True[tex]\dfrac{5-0}{2-(-2)}=\dfrac{5}{4}[/tex]B. False[tex]\dfrac{-5-5}{4-(-4)}=-\dfrac{5}{4}[/tex]C. False[tex]\dfrac{0-4}{2-(-3)}=-\dfrac{4}{5}[/tex]D. False[tex]\dfrac{-5-(-1)}{6-1}=-\dfrac{4}{5}[/tex]E. True[tex]\dfrac{9-(-1)}{10-2}=\dfrac{5}{4}[/tex]