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

[mathdad]

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?

 

[Greg]

Of course it is!

 

[mathdad]

Does the line y = 14x go through the origin?

 

[MarkFL]

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 $a=0$?

 

[mathdad]

Good information for my notes.