Q. 65 - Precalculus Enhanced with Graphing Utilities

Question

If $\left(3,b\right)$ is a point on the graph of $y=4x+1,$ what is b ?

Step-by-Step Solution

Answer

The value of $\mathrm{b}$ is $13$.

Step 1: Given information

The given point is $\left(3,\mathrm{b}\right)$.

The given equation is $y=4x+1$.

Step 2: Determine the value of b

Substitute $3$ for $y$, $\mathrm{b}$ for $x$ in $y=4x+1$.

$\begin{array}{rcl}\mathrm{b}& =& 4\left(3\right)+1\\ & =& 12+1\\ & =& 13\end{array}$

Step 3: Write the conclusion

The value of $\mathrm{b}$ is $13$.