Q .65 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

The value of $b$ is $13$.

Step 1: Given information

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

The given equation is $y=4x+1$.

Step 2: Determine the value b .

Since the point $(3, b)$ is on the graph of the equation $y=4 x+1$, the coordinates of the point satisfy the equation.

Substitute $x=3$ and $y=b$ into the given equation.

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

Step 3: Write the conclusion

The value of $b$ is $13$.