The circle below is centered at the point (4, 3) and has a radius of length 5. What is its equation?
2 answers:
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Answer:
y = - x - 5
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 3 is in this form with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
y = - x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = - x - 5 ← equation of perpendicular line
