# If y = 2x - 3, then which of the following ordered pairs (1, -1), (-3, 0), (5, 4) lies on the graph?

May 2, 2018

$\left(1 , - 1\right)$ lies on $y = 2 x - 3$.

#### Explanation:

To check whether a point lies on the line, substitute either $x \mathmr{and} y$ into its corresponding equation. If you get the other coordinate correctly from the equation, the point lies on that line.

Let's substitute $x = 1$ in $y = 2 x - 3$
$\implies y = 2 \times 1 - 3 = 2 - 3$
$\implies y = - 1$
This corresponds to the y-coordinate in (1, -1). Thus the point (1, -1) lies on the given line.

Substitute $y = 0$ in the equation.
$0 = 2 x - 3$
$\implies 3 = 2 x$
$\implies x = \frac{3}{2}$

For (-3, 0) to lie on the line, putting $y = 0$ should have given us $x = - 3$. Since it didn't, the point does not lie on the line.

Similarly, (5,4) does not lie on the line. Try plugging in one of the values to see it.
graph{y = 2x -3 [-10, 10, -5, 5]}