Solving x²+y=3: Finding Y-Axis Intersection Points

At which points does the function $x^2+y=3$

intersect the y axis?

Video Solution

Solution Steps

00:00 Find the intersection point of the function with the Y-axis

00:03 At the intersection point with the Y-axis, X equals 0

00:07 Let's substitute X=0 in our equation and solve to find the intersection point:

00:16 This is the value at the intersection point with the Y-axis

00:19 X = 0 as we substituted initially

00:24 And this is the solution to the question

Step-by-Step Solution

To solve this problem and determine where the function $x^2 + y = 3$ intersects the y-axis, we follow these steps:

Step 1: Since the y-axis is where the x-coordinate is zero, set $x = 0$ in the given equation.
Step 2: Substitute $x = 0$ into the equation $x^2 + y = 3$ , which simplifies to $0 + y = 3$ .
Step 3: From the simplified equation, solve for $y$ . The result is $y = 3$ .

This indicates that the point of intersection on the y-axis is $(0, 3)$ .

Accordingly, the solution to the problem is that the graph intersects the y-axis at the point $(0, 3)$ .