Chapter 13.1, Problem 18PSB

To determine

To find: The value of $b$ if $y=mx+b$ , $\left(x,y\right)=\left(2,4\right)$ , and $m=-3$ .

Answer to Problem 18PSB

The value of $b$ is $10$ .

Explanation of Solution

Given:

It is given that $y=mx+b$ , $\left(x,y\right)=\left(2,4\right)$ , and $m=-3$ .

Calculation:

Find the value of $b$ .

Substitute 2 for $x$ , $4$ for $y$ , and $-3$ for $m$ in the equation $y=mx+b$ .

  $\begin{array}{c}4=\left(-3\right)\left(2\right)+b\\ b-6=4\\ b=4+6\\ =10\end{array}$

Therefore, the value of $b$ is $10$ .