Write an equation of a line passing through (1, -1), perpendicular to y=3x+2

aurelegena 2022-09-07 Answered
Write an equation of a line passing through (1, -1), perpendicular to y=3x+2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

lascosasdeali3v
Answered 2022-09-08 Author has 10 answers
If a line is perpendicular to another this means its slope is the opposite reciprocal of the other function's slope. Opposite meaning the sign switches and reciprocal meaning one over the number. In this case the slope of this function is 3 and its opposite reciprocal is - 1 3 which means we now know the slope of the perpendicular line.
We also know one point which must be on the line so we can plug this into the point-slope formula y - y 1 = m ( x - x 1 ) where y1 is the y-coordinate of a point on the line, x1 is the corresponding x-coordinate, and m is the slope) to get y - ( - 1 ) = - 1 3 ( x - 1 ) . Which should be a perfectly valid answer, but if you meed it in slope-intercept form just subtract one from both sides to solve for y. This will give you y = - 1 3 x - 2 3
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more