Mathematics: Can someone help me please !

Can someone help me please ! - id8335699, damiangibson2

heyItsLuna234

24.01.2020

Step-by-step explanation:

Given that a line has a slope of $\frac{-4}{5}$

For any line perpendicular to this line,

the slope of the line = $\frac{-1}{slope of the given line} \\=\frac{-1}{\frac{-4}{5} } \\=\frac{5}{4}$

Let us check whether the given options satisfy this

a) (-2,0) and (2,5)... slope = $\frac{5-0}{2-(-2)} =\frac{5}{4}$

Yes true

b) (–4, 5) and (4, –5)... slope = $\frac{-5-5}{4-(-4)} =\frac{-5}{4}$

No not true.

c) (–3, 4) and (2, 0)

Slope = $\frac{-4}{5}$

No not true.

d) (1, –1) and (6, –5)

Slope = $\frac{-5+1}{6-1} =\frac{-4}{5}$

No, not true.

e) (2, –1) and (10, 9)

Slope = 5/4

True.

e) (2, –1) and (10, 9)

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