Do all lines have an x and y intercept?

Slovenujozk 2022-09-14 Answered
Do all lines have an x and y intercept?
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 (2)

Vaughn Greer
Answered 2022-09-15 Author has 15 answers
Not all lines have an x- and y-intercept. This question can be rephrased as, "Do all lines cross the x- and y-axis?"
Consider the horizontal line y=2. graph{y = 2 + 0x [-10, 10, -5, 5]}
This line does not cross the x-axis. Similarly, the line x=2 is a vertical line which does not cross the y-axis.
graph{x = 2 + .00001y [-10, 10, -5, 5]}
It is true that a line will cross at least the x- or y-axis. A line cannot avoid both.
Did you like this example?
Subscribe for all access
Malik Turner
Answered 2022-09-16 Author has 2 answers
the answer is yes because on a graph, even if it has a x intercept, it will eventually intercept the y intercept b/c the line will continue infinitely
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

You might be interested in

asked 2021-06-01

Find the linear approximation of the function f(x)=4x at a=0
Use L(x) to approximate the numbers 3.9 and 3.99 Round to four decimal places

asked 2022-06-02
I have an equation system of the form Aix + Biy + Ciz = Di, where (x,y,z) is a unit vector, and (Ai, Bi, Ci, Di) are sets of measurements from a noisy system (with typically 3-5 independant readings).
My first intuition to solve this problem was to pose this as an overdetermined linear equation system AX = B where X = (x,y,z), and to solve for X. However, with that approach, I have no way to enforce that the solution for vector X is a unit vector.
Is there an elegant (or standard) solution to that problem, or should I simply dive into non-linear equation solving solutions?
asked 2022-09-29
y = - 2 2 + 7
asked 2022-11-15
Graph the line that passes through (2,-1) parallel to the line 2x+3y=6
asked 2022-02-22
I have the equation (1+y2)dx+(xy+1)dy=0. It is a linear differential equation of the first order. Now the problem is that this doesnt have the regular form of this type of equations which is
dydx+p(x)y=q(x).
I know I can divide both sides by dx and then I'll have (1+y2)+(xy+1)y=0. Still, it should be (xy+1)+y not (xy+1)y.
asked 2022-09-27
If three times the difference of the number and 9 is −3, what is the number?
asked 2022-10-29
Find the equation of the line perpendicular to y = 21 4 x that passes through (−3,5)