anonymous
  • anonymous
write an equation in point-slope form for the line through the given point with the given slope.(-3, -5); m = -2/5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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MrNood
  • MrNood
you know the 'point slope' form is y=mx+b and you are told m so the equation is y= -2/5 x +b but you also know that when x= -3 then y = -5 so -5 = -2/5 (-3) + b so oyu can work out b and there is your answer
Er.Mohd.AMIR
  • Er.Mohd.AMIR
point slope form y-y1=m(x-x1) where m is slope and (x1,y1) is point.
mathstudent55
  • mathstudent55
A line with slope m, that passes through and point \((x_1, y_1)\) has the point-slope equation: \(y - y_1 = m(x - x_1)\)

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anonymous
  • anonymous
Thanks! Fastest responses I've ever received lol XD
mathstudent55
  • mathstudent55
In your case, you are given \(slope = m = - \dfrac{2}{5} \), and point \((-3, -5)\). Just substitute these values into the equation above. Keep in mind that you need to subtract the x-coordinate and the y-coordinate of the point. Both your x- and y-coordinates are negative, so be careful with the signs.
mathstudent55
  • mathstudent55
@MrNood You wrote "you know the 'point slope' form is y=mx+b" ... That is actually the slope-intercept form, not the point-slope form.
MrNood
  • MrNood
soz - yes . I'll read the question properly next time! :-)
anonymous
  • anonymous
So, the answer would be y - 5 = -2/5 (x - 3)?
mathstudent55
  • mathstudent55
No. That is not the answer. You did plug int he slope correctly, but above I mentioned that the coordinates of the point are both negative numbers and you need to be careful because you are subtracting two negative numbers.
mathstudent55
  • mathstudent55
Always start with the equation or formula. Write it down. It will help you with the problem, but it will also help you memorize the formula or equation.
mathstudent55
  • mathstudent55
We start with the point-slope equation: \(y-y_1=m(x-x_1) \) Now we replace \(x_1\) with -3, \(y_1\) with -5, and m with \(- \dfrac{2}{5} \) \(y-(-5)=-\dfrac{2}{5}(x-(-3)) \) Notice that all I did was the substitutions for x1, y1 and m. Now simplify the subtractions of negative numbers. Remember that subtracting a negative number is adding. \(y +5=-\dfrac{2}{5}(x+3) \)
anonymous
  • anonymous
OOoohhhhh. Okie. I see it now...>XD

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