If a point lies on the $y$-axis then its $x$-coordinate is $0$. If you put $x=0$ in the equation of the circle then it becomes $y^2 + 2y + 17 = 0.$ The solutions of that quadratic (if there are any) will give you the points (if any) where the circle intersects the y-axis.RTCNTC said:Find the y-coordinates of the points (if any) where the circle intersects the y-axis.
x^2 + y^2 - 10x + 2y + 17 = 0
Can someone share the steps with me?
Opalg said:If a point lies on the $y$-axis then its $x$-coordinate is $0$. If you put $x=0$ in the equation of the circle then it becomes $y^2 + 2y + 17 = 0.$ The solutions of that quadratic (if there are any) will give you the points (if any) where the circle intersects the y-axis.
However, if you have previously solved your other problem about this circle (where you had to find its centre and radius), you may find that that gives you a simpler way to answer this problem.
To find the y-coordinate of a point, you need to know the point's location on the y-axis. This can be determined by looking at the vertical distance between the point and the x-axis. You can also use a coordinate plane or graph to visually identify the y-coordinate of a point.
The formula for finding the y-coordinate of a point is y = mx + b, where m is the slope of the line and b is the y-intercept. This formula is commonly used in linear equations to determine the y-coordinate at a given x-coordinate.
No, in order to find the y-coordinate of a point, you need to know the x-coordinate as well. The y-coordinate is determined by the point's location on the y-axis, which is dependent on its x-coordinate.
To find the y-coordinate of a point on a graph, locate the point on the x-axis and draw a vertical line up or down to the point on the line or curve. The point where the line intersects the y-axis is the y-coordinate of the point.
Yes, you can find the y-coordinate of a point on a non-linear graph in the same way as a linear graph. However, the formula for finding the y-coordinate may be different depending on the type of non-linear graph. For example, in a parabola, the formula would be y = ax^2 + bx + c, where a, b, and c are constants.