If line s is y= -3x+2 can an equation of a line share more than one solution with line s

Question

If yes, why and where lease provide an exampel

Answer 1

Well, yes and no. The same line can have different coefficients of the same multiple, but by the time we get it down to slope-intercept form, the equation will be the same.

 

What do I mean?? I'll show you. Believe it or not, 9x + 3y = 6 is the same line, meaning that they are an infinite number of solutions.

 

9x + 3y = 6

3y = -9x + 6

y = -3x + 2

 

 

1800x + 600y = 1200

600y = -1800x + 1200

y = -3x + 2

 

So, in slope-intercept form, no. In standard form yes.

 

Hope this helps!