Question

If $(-2,\mathrm{b})$is a point on the graph of $2x+3y=2$, what is role="math" localid="1646103344278" $\mathrm{b}$ ?

Short answer

The value of$\mathrm{b}$is $2$.

Step-by-step solution

Given information

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

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

Determine the value of b.

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

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

Write the conclusion

The value of$\mathrm{b}$is$2$.