Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -2

Diana Lamb 2022-10-11 Answered
Write an equation of a line parallel to the graph of 2x+5y=3 and the x-intercept is -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)

smh3402en
Answered 2022-10-12 Author has 11 answers
Any equation of the form Ax+By=C has a slope of m = - A B
Therefore 2x+5y=3 has a slope of ( - 2 5 )
All parallel lines have the same slope.
If a line has an x-intercept of (−2)
then (x,y)=(−2,0) is a point on the line.
Using the slope definition:
XXX y - 0 x - ( - 2 ) = ( - 2 5 )
XXX y = ( - 2 5 ) ( x + 2 )
XXX 5 y = - 2 x - 4
XXX 2 x + 5 y = - 4 (standard linear form)
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