Home > Algebra > Write an Equation Given the Slope and a Point

What is the equation of the line with #m=5# that goes through the point #(2, 3)#?

Answer 1

#5x-y=7#

The general slope-point form for a line is #color(white)("XXX")y-color(blue)(b)=color(green)(m)(x-color(red)(a))# for a slope of #color(green)(m)# and a point #(color(red)(a),color(blue)(b))#

For the given slope #color(green)(m=5)# and point #(color(red)(a),color(blue)(b))=(color(red)(2),color(blue)(3))#

#color(white)("XXX")y-color(blue)(3)=color(green)(5)(x-color(red)(2))#

While this is valid answer, we could convert it into standard form: #color(white)("XXX")y-3=5x-10#

#color(white)("XXX")y=5x-7#

#color(white)("XXX")5x-y=7#

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Answer 2

Savannah Anderson

The equation of the line with slope ( m = 5 ) that passes through the point ( (2, 3) ) is ( y = 5x - 7 ).

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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.