Q. 66 - Precalculus Enhanced with Graphing Utilities

Question

If $(-2, \mathrm{b})$ is a point on the graph of $2 x+3 y=2$, what is $\mathrm{b}$ ?

Step-by-Step Solution

Answer

The value of $\mathrm{b}$ is $2$.

Step 1: Given information

The given point is $\left(-2,\mathrm{b}\right)$.

The given equation is $2x+3y=2$.

Step 2: Determine the value of b .

Substitute $-2$ for $x$, $\mathrm{b}$ for $y$ in $2x+3y=2$.

$\begin{array}{rcl}2\left(-2\right)+3\mathrm{b}& =& 2\\ 3\mathrm{b}& =& 2+4\\ \mathrm{b}& =& \frac{6}{3}\\ & =& 2\end{array}$ 

Step 3: Write the conclusion

The value of $\mathrm{b}$ is $2$.