Activity The equation of a circle centered at the origin with a radius of unit length is x2 + y2 = 1. This equation changes if the center of the circle is not

located at the origin or the radius is not of unit length. You will use the GeoGebra geometry tool to examine how the equation of a circle changes

as you move the center and change the radius. Go to equation of a circle C, and complete each step below. If you need help, follow these

instructions for using GeoGebra.

Question 1

Move the sliders to set the values of r, h, and k, and record at least three different sets of data. Also record the equations of the corresponding

circles.

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form