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What is the slope of any line perpendicular to the line passing through #(29,36)# and #(57,57)#?

Answer 1

Genesis Allen

#"perpendicular slope "=-4/3#

#"calculate the slope m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(29,36)" and "(x_2,y_2)=(57,57)#

#m=(57-36)/(57-29)=21/28=3/4#

#"the slope of a line perpendicular to m is"#

#•color(white)(x)m_(color(red)"perpendicular")=-1/m#

#m_("perpendicular")=-1/(3/4)=-4/3#

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Answer 2

Avery Alexander

The slope of any line perpendicular to the line passing through (29,36) and (57,57) is -1/2.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.