MHB Finding the Equation of a Line with Given Slope and Y-Intercept

  • Thread starter Thread starter mathdad
  • Start date Start date
AI Thread Summary
The equation of the line with a slope of 14 and a y-intercept of 0 is y = 14x. This line indeed passes through the origin, as all lines of the form y = mx do. For any value of x, the corresponding point on the line can be calculated using the equation. Specifically, when x equals 0, the point is (0,0), confirming it goes through the origin. This reinforces the understanding of linear equations in slope-intercept form.
mathdad
Messages
1,280
Reaction score
0
Given slope = 14; y-intercept is 0, find the equation of the line.

Solution:

y = mx + b

y = 14x + 0

y = 14x

The equation of the line is y = 14x.

Correct?
 
Mathematics news on Phys.org
Of course it is!
 
Does the line y = 14x go through the origin?
 
RTCNTC said:
Does the line y = 14x go through the origin?

All lines of the form $y=mx$ go through the origin...for any $x=a$, the point $(a,ma)$ is on the line...what point do we get if $a=0$?
 
Good information for my notes.
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top