Question

Write each equation in standard form. Identify $A,B$ and $C$.

$y=-3x+4$

Short answer

The required values are $A=3,B=1,C=4$.

Step-by-step solution

– Standard form of a linear equation.

The standard form of a linear equation is $Ax+By=C$, where $A\ge 0,A$ and B are not both zero.

– Rewrite the given linear equation in the standard form.

The given equation is:

$y=-3x+4$

Add 3x on both sides.

$\begin{array}{c}y+3x=-3x+4+3x\\ y+3x=4\\ 3x+y=4\end{array}$

– Find the required values.

Now compare the equation $3x+y=4$with the standard form of the linear equation $Ax+By=C$to find the values of $A,B,C$.

$\begin{array}{c}A=3\\ B=1\\ C=4\end{array}$

Thus, the required values are $A=3,B=1,C=4$.