Question

Consider the equation y=-2x+5. Create a table of five ordered pairs that satify the equation. What is the y-intercept of the equation? What is the x-intercept of the equation?

Answer 1

5 pairs: (0,5) <- x intercept
(2.5,0)<- y intercept
(1,3)
(2,1)
(3,-1)

Answer 2

Answer:  The table is shown below. The y-intercept of the equation is (0, 5) and the x-intercept of the equation is (2.5, 0).

Step-by-step explanation:  The given equation is:

$y=-2x+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are given to create a table five ordered pairs that satisfy the equation. Also, to find the y-intercept and x-intercept of the given equation.

Now, we will try to find the ordered pairs by substituting values of x and calculating the corresponding values of y as follows:

When x = 1, then from equation (i), we get

$y=-2\times 1+5=-2+5=3.$

When x = 2, then from equation (i), we get

$y=-2\times 2+5=-4+5=1.$

When x = 3, then from equation (i), we get

$y=-2\times 3+5=-6+5=-1.$

When x = 4, then from equation (i), we get

$y=-2\times 4+5=-8+5=-3.$

When x = 5, then from equation (i), we get

$y=-2\times 5+5=-10+5=-5.$

So, the required ordered pairs are (1, 3), (2, 1), (3, -1), (4, -3) and (5, -5).

Also,

when x = 0, from equation (i), we get

$y=-2\times 0+5=0+5=5.$

So, y-intercept is (0, 5).

When y = 0, from equation (i), we get

$0=-2x+5~~~\Rightarrow 2x=5~~~\Rightarrow x=2.5.$

So, x-intercept is (2.5, 0).

Thus, the table of five ordered pairs is

x       1        2       3       4         5

y      3        1        -1      -3        -5

And, the y-intercept is (0, 5), x-intercept is (2.5, 0).