How to find equation of a circle with two points

Asked by admin @ 22/11/2021 in Mathematics viewed by 371 People

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine the radius: Substitute the known values into the standard form: (x – h)² + (y – k)² = r². What is the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1)?

Answered by admin @ 22/11/2021

the equation of a line that has a center at (h,k) and radius of r is

$(x-h)^2+(y-k)^2=r^2$

we can use the distance formula to find the radius ( I would just substitute but whatever)

distance between (-4,0) and (-2,1) is

$D=\sqrt{(-4-(-2))^2+(0-1)^2}$

$D=\sqrt{(-4+2)^2+(-1)^2}$

$D=\sqrt{(-2)^2+1}$

$D=\sqrt{4+1}$

$D=\sqrt{5}$

D=r

so the equation is

$(x-(-4))^2+(y-0)^2=(\sqrt{5})^2$

$(x+4)^2+y^2=5$

How to find equation of a line with two points

Asked by admin @ 29/10/2021 in Mathematics viewed by 301 persons

How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the change in x …

How to find a point of intersection with two equations

Asked by admin @ 29/10/2021 in Mathematics viewed by 354 persons

when finding the intersection of two lines from both algebra I and geometry you first set the linear equations equal to each other. find the intersection point of the two …

Using two points to find the equation of a line

Asked by admin @ 28/10/2021 in Mathematics viewed by 319 persons

Writing Linear Equations Instruction Active Writing an Equation Given Two Points on the Line Write the equation of the line that passes through the points (7,-4) and (-1,3), first in …

How to find the slope intercept equation from two points

Asked by admin @ 29/10/2021 in Mathematics viewed by 272 persons

How to write an equation in slope intercept form given two points. Put the steps in order. A- pick a point and use the slope by substituting them into the …

Finding center and radius of a circle from an equation

Asked by admin @ 07/11/2021 in Mathematics viewed by 298 persons

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine …

How do you find the standard equation of a circle

Asked by admin @ 30/10/2021 in Mathematics viewed by 320 persons

Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below. Use the distance formula to determine …

Find the distance between two points using the distance formula

Asked by admin @ 22/11/2021 in Mathematics viewed by 332 persons

what are the steps to finding the distance between two points on a coordinate grid using pythagorean theorem

How to find equation of angle bisector of two lines

Asked by admin @ 22/11/2021 in Mathematics viewed by 312 persons

What do you need to do to prove a line is an angle bisector of an angle?

How to find average rate of change between two points

Asked by admin @ 16/11/2021 in Mathematics viewed by 345 persons

What must be true about the average rate of change between any two points on the graph of an increasing function?

Find the equation of the tangent line at the point

Asked by admin @ 11/11/2021 in Mathematics viewed by 294 persons

What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?

How to find quadratic equation given vertex and a point

Asked by admin @ 10/11/2021 in Mathematics viewed by 320 persons

What is the quadratic function with the given vertex and through the given point? Write the equation of the parabola in vertex form and describe how the function was transformed …

How to find the rate of change between two points

Asked by admin @ 06/11/2021 in Mathematics viewed by 306 persons

What must be true about the average rate of change between any two points on the graph of an increasing function?

How to find distance between two points on a graph

Asked by admin @ 05/11/2021 in Mathematics viewed by 354 persons

Find the distance between the two points on the graph.

Find the wronskian of two solutions of the differential equation

Asked by admin @ 30/10/2021 in Mathematics viewed by 295 persons

Show that the set of solutions of a second-order linear homogeneous differential equation is linearly independent. {eax, xeax}, a ≠ b Find the Wronskian for the set of solutions. {eax, …

How to find the point slope equation of a line

Asked by admin @ 29/10/2021 in Mathematics viewed by 291 persons

Find the point-slope equation for the line that passes through the points (5, 19) and (-5, -1). Use the first point in your equation. please help :/ y- [?]=[?](x-[?])