Linear algebra : how to transform a vector equation into a line equation

[mnaceypantsey]

Please let me know if there is a special forum for linear algebra - otherwise any help is appreciated !!
Say I've got the vector eqn : v = <-4,-1> + t<-1.4>, and I need to find the equation y=mx+b for the line defined by this vector eqn. How do I go about this?

 

[pka]

Say I've got the vector eqn : v = <-4,-1> + t<-1.4>, and I need to find the equation y=mx+b for the line defined by this vector eqn. How do I go about this?

The equation of the line is [imath]\ell(t)=(-4+t,-1+4t)[/imath]
Note that when [imath]t=0[/imath] then [imath]\ell(0)=(-4,-1)[/imath] is a point on the line.
Another point is [imath]\ell(1)[/imath] so now we can find the slope. What is its standard equation?

 

[Deleted member 4993]

Please let me know if there is a special forum for linear algebra - otherwise any help is appreciated !!
Say I've got the vector eqn : v = <-4,-1> + t<-1.4>, and I need to find the equation y=mx+b for the line defined by this vector eqn. How do I go about this?

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[Dr.Peterson]

Please let me know if there is a special forum for linear algebra - otherwise any help is appreciated !!
Say I've got the vector eqn : v = <-4,-1> + t<-1.4>, and I need to find the equation y=mx+b for the line defined by this vector eqn. How do I go about this?

Another approach is to write x and y in terms of t, and eliminate t from the two equations.