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What is the equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x – 4?

Answer 1

Avery Alexander

#y=1/3x-6#

#"given a line with slope m then the slope of a perpendicular"# #"line to it is "#

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

#y=-3x-4" is in "color(blue)"slope-intercept form"#

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#rArry=-3x-4" has slope "m=-3#

#rArrm_(color(red)"perpendicular")=-1/(-3)=1/3#

#rArry=1/3x+blarr" partial equation"#

#"to find b substitute "(3,-5)" into the partial equation"#

#-5=1+brArrb=-6#

#rArry=1/3x-6larrcolor(red)" in slope-intercept form"#

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Answer 2

Abigail Allen

The equation of the line in slope-intercept form that passes through the point (3, –5) and is perpendicular to y = –3x – 4 is y = 1/3x - 6.

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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.