MHB What is the equation of a line with a slope of 0 and a y-intercept of 14?

  • Thread starter Thread starter mathdad
  • Start date Start date
Click For Summary
The equation of a line with a slope of 0 and a y-intercept of 14 is y = 14. This represents a horizontal line at the constant value of 14. The general form of the equation is y = mx + b, where m is the slope and b is the y-intercept. Since the slope is 0, the equation simplifies to y = b. The discussion confirms the understanding that a slope of 0 indicates a constant function.
mathdad
Messages
1,280
Reaction score
0
Given the slope = 0; y-intercept is 14, find the equation of the line.

Solution:

y = mx + b

y = 0x + 14

y = 14

The equation of the line is the horizontal line y = 14.

Correct?
 
Mathematics news on Phys.org
Correct.
 
Cool.
 
I hope you realized, as soon as you saw "slope is 0", that this was a constant function.
 
For y = 0x + b, the function is y = b. I just like working out the steps.
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

MHB Finding the Equation of a Line with Given Slope and Y-Intercept
  • · Replies 4 ·
Replies
4
Views
1K
MHB Slope Intercept Equation with parallel
  • · Replies 2 ·
Replies
2
Views
1K
MHB What is the equation of a line passing through (6, -3) with a y-intercept of 8?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Finding the Equation of a Line Given Two Points
  • · Replies 2 ·
Replies
2
Views
1K
MHB How can I find the equation of a line given its x-intercept and y-intercept?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Integer Solutions for $4x+y+4\sqrt{xy}-28\sqrt{x}-14\sqrt{y}+48=0$
  • · Replies 1 ·
Replies
1
Views
1K
MHB Why use point-slope form for linear equations?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How Do You Calculate the Slope of a Line with Given Coordinates and Area?
  • · Replies 2 ·
Replies
2
Views
2K
MHB How do I find an equation of the line with a given x-intercept and point?
  • · Replies 5 ·
Replies
5
Views
2K
MHB [ASK] A Line Intercepting A Circle
  • · Replies 4 ·
Replies
4
Views
1K