y+x=-2 What is the y intercept? What is the ordered pairs?
a y-intercept is a point where the graph of a function intersects with the y-axis of the coordinate system. As such, these points satisfy x=0.
y+0= -2
y= -2
(0, -2)
To find the y-intercept of the equation y + x = -2, we need to set x equal to zero and solve for y.
Plugging in x = 0 into the equation, we have:
y + 0 = -2
Simplifying this equation, we get:
y = -2
Therefore, the y-intercept is -2.
To find the ordered pairs, we can choose any value for x and solve for the corresponding value of y. Let's choose x = 1:
y + 1 = -2
By subtracting 1 from both sides, we get:
y = -3
So, the ordered pair is (1, -3).
To find the y-intercept of a linear equation, you need to set x to be zero and solve for y. In the equation y + x = -2, when x is set to zero, the equation becomes y + 0 = -2. Simplifying this equation gives y = -2. Thus, the y-intercept is -2.
The ordered pairs represent the points on the coordinate plane that satisfy the equation. In this case, we can choose any value for x and solve for the corresponding value of y. For example, if we choose x = 0, the equation becomes y + 0 = -2, resulting in y = -2. So an ordered pair would be (0, -2).
However, since the equation y + x = -2 does not define a specific line but rather a collection of points, there are infinitely many ordered pairs that satisfy the equation. You can also pick different values for x, calculate the corresponding value of y, and obtain other ordered pairs that lie on the same line.