# Question #82223

Mar 31, 2017

(1, -4), (2, -8) and (3, -12)

#### Explanation:

you can choose any number of $x$ and plug into the equation

$y = - 4 x$
$x = 1 , y = - 4 \left(1\right) = - 4$
$x = 2 , y = - 4 \left(2\right) = - 8$
$x = 3 , y = - 4 \left(3\right) = - 12$

order pairs $= \left(1 , - 4\right) , \left(2 , - 8\right) \mathmr{and} \left(3 , - 12\right)$

Mar 31, 2017

Three ordered pair solutions to $y = - 4 x$:

$\left(1 , - 4\right) , \left(5 , - 20\right) , \left(- 2 , 8\right)$

#### Explanation:

An ordered pair is a grouping of two numbers with a distinct order that are related by an equation used to define the points or coordinates of a curve (or line) on a graph.

For example if you were required to graph the points $\left(- 1 , - 1\right) \left(1 , 1\right) , \left(2 , 2\right) , \left(3 , 3\right) , \left(4 , 4\right)$, you would see a straight line that would pass through the origin with a positive slope at $45 \mathrm{de} g r e e s$.

The order in the pair always tells you that the first number indicates the value of $x$, and the second number is always the value of $y$.

So if you see $x = 3 \mathmr{and} y = 6$, the ordered pair is $\left(3 , 6\right)$, and that would be very different than the point at $\left(6 , 3\right)$, because the two coordinates have the reverse order of the other.

We know from above that the ordered pairs are related by an equation so we can find some pairs by choosing any number for one point and substituting it into the equation.

Given: $y = - 4 x$

We can choose any value for $x$ to insert into the equation to obtain the value of $y$ that is related to it.

We can choose: $x = 1 , x = 5 , x = - 2$

Then use the formula to solve for $y$:

$y = - 4 x = - 4 \left(1\right) = - 4$ results in the ordered pair $\left(1 , - 4\right)$
$y = - 4 x = - 4 \left(5\right) = - 20$ results in the ordered pair $\left(5 , - 20\right)$
$y = - 4 x = - 4 \left(- 2\right) = 8$ results in the ordered pair $\left(- 2 , 8\right)$