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The lines shown below are perpendicular. If the green line has a slope of
2/5 , what is the slope of the red line?



Sagot :

Answer:

-5/2

Step-by-step explanation:

for perpendicularity;

[tex]m1 = \frac{ - 1}{m2} [/tex]

where m1 is first slope

and m2 is second slope

so here, let m1 be green line slope

and m2 be red line slope

thus,

[tex]m2 = \frac{ - 1}{m1} [/tex]

[tex]m2 = \frac{ - 1}{ \frac{2}{5} } = - 1 \div \frac{2}{5} [/tex]

[tex] = - 1 \times \frac{5}{2} = \frac{ - 5}{2} [/tex]