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mylen [45]
3 years ago
7

Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw t

he radius . What is the slope-intercept form of the equation of ? Show your work.

Mathematics
1 answer:
ser-zykov [4K]3 years ago
8 0

<u>Corrected Question</u>

Create a circle with center A and a radius of your choice. Create a point B on the circle, and find the coordinates of B. Draw the radius AB. What is the slope-intercept form (y = mx + b) of the equation of AB? Show your work.

Answer:

y=0.62x+2

Step-by-step explanation:

In the attached circle drawn using Geogebra

  • Center is at point A(0,2)
  • Point B on the circumference has coordinates (1.7,3.05)
  • Radius of the circle=2 Units

Gradient of AB, m=\dfrac{y_2-y_1}{x_2-x_1} where (x_1,y_1)=A(0,2)$ and (x_2,y_2)=B(1.7,3.05)

m=\dfrac{3.05-2}{1.7-0} \\=\dfrac{1.05}{1.7}\\\\\approx 0.62

Line AB intercepts the y-axis at y=2, therefore: b=2

The slope-intercept form of the line AB (in this case) is therefore:

y=0.62x+2

For every circle center A of radius r and point B chosen on the circumference, the equation of the line AB will be different.

You can try one of your own!!

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