1 Answer

Wkm · Answer 1 · 2023-10-07T01:33:36+0000

We have a equation of a line and want to find the slope and the interception with the y-axis.

We need to write our equation in the form:

$y=m\cdot x+b$

Where m is the slope and b is the y-intercept value.

So,

$\begin{gathered} -6x+3y=12 \\ 3y=6x+12 \\ y=(6x+12)/(3) \\ y=(6)/(3)x+(12)/(3) \\ y=2x+4 \end{gathered}$

So the slope m=2 and the y-intercept is b=4.

A graph of the line will be:

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