Question

If $\left(3,b\right)$is a point on the graph of localid="1646062158338" $y=4x+1,$what is b ?

Short answer

The value of$\mathrm{b}$is$13$.

Step-by-step solution

Given information

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

The given equation is$y=4x+1$.

Determine the value of b

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

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

Write the conclusion

The value of$\mathrm{b}$is$13$.