Chapter 13.1, Problem 8PSA

To determine

To find: Whether the point $\left(5,4\right)$ lie on the graph of $y=2x-3$ .

Answer to Problem 8PSA

The point $\left(5,4\right)$ does not lie on the graph of $y=2x-3$ .

Explanation of Solution

Given:

The equation is $y=2x-3$ and point is $\left(5,4\right)$ .

Calculation:

The point $\left(5,4\right)$ will lie on the graph of equation $y=2x-3$ if it satisfies the equation.

Substitute $5$ for $x$ , and $4$ for $y$ in the equation $y=2x-3$ .

  $\begin{array}{c}4=2\left(5\right)-3\\ 4=10-3\\ 4\ne 7\end{array}$

The point $\left(5,4\right)$ does not satisfy the equation.

Therefore, the point $\left(5,4\right)$ does not lie on the graph of $y=2x-3$ .