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Write the equations for the circle and line below, and determine their intersection points

Write the equations for the circle and line below, and determine their intersection-example-1
User CeamKrier
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1 Answer

7 votes

Answer:

Explanation:

count from the center to the edge of the circle along the tiny squares to find the radius.

r = 7

center of circle: (-1, -2)

Don't forget to flip the sign when plugging in the center into the equation.

Don't forget to square the raduis (7*7 = 49)

(x + 1)^2 + (y + 2)^2 = 49

To find the slope of the line start at one point and do "rise over run"

slope = -4/6 or -2/3

The y-intercept is always the point along the y-axis

y-intercept = (0, 4) or 4

y = -2/3x + 4

Now plug in y to the circle equation to get the final answer.

(x + 1)^2 + (-2/3x + 4 + 2)^2 = 49

User Natassia
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