How do you find the x and y intercepts of a circle equation?

Finding the Intercepts of a Circle (4 Intercepts)

1. An x-intercept is where the graph touches or crosses the x-axis.
2. A y-intercept is where the graph touches of crosses the y-axis.
3. To find an x-intercept: Let y=0 and solve for x.
4. To find an y-intercept: Let x=0 and solve for y.

What is the X and Y intercept of a circle?

Substitute “0” in for x in the standard form of the equation of a circle — (x-h)^2 + (y-k)^2 = r^2, where h and k are integers and r stands for the radius of the circle. Solve each equation for y to get your y-intercepts. In this case, you subtract 4 from both sides in both equations to end up with (0, -8) and (0, 0).

What is the equation of the circle?

We know that the general equation for a circle is ( x – h )^2 + ( y – k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.

What is y-intercept of a circle?

The word “intercept” means crossing point, and the y-intercept of a graph refers to the point at which the equation crosses the y-axis of the coordinate plane. Because a circle is round, it can cross the y-axis twice and have up to two y-intercepts.

What is the standard form of circle?

The graph of a circle is completely determined by its center and radius. Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

How do you calculate x intercept?

The x-intercept is written as (x, 0), because the y-coordinate is always zero at the x-intercept. If you know the slope and the y-intercept of the function, you can calculate the x-intercept using the formula (y – b) / m = x, where m equals the slope, y equals zero, and b equals the y-intercept.

How do you find the y – intercept of a circle?

To find the y intercepts, set x = 0 and solve for y. 1 – Enter the values of h, k and r where h and k are the x and y coordinates of the center of the circle; r is the radius of the circle and the number of desired decimal places and press “Find x-y intercepts”.

How do you calculate intercept?

Finding the y-intercept, Given the Slope and One Point Set up the formula y=mx+b{\\displaystyle y=mx+b}. Plug in the slope and the coordinates of one point in the line. Complete the equation, solving for b. Check your work.

How do you find the x intercept?

Find the X intercept(s). Press the “2nd” key then the “Calc” key. This accesses the trace menu. Scroll down to “Zero” and press “Enter.”. Using the arrow keys, scroll to the left of the X intercept and press “Enter.”.