Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?
1 answer:
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Answer:
See attached
Step-by-step explanation:
Both of the lines are drawn on the attached
A. .........................
Since lines AB and MY are parallel, and one of the points of parallel line is (-4, -1) the other point is going to have same difference of x and y-coordinates
- A(-3, 2) → M (-4, -1) ⇒ B(2, 4) → Y(1, 1)
Connecting this two points, we get a parallel line to AB
<em>This is a blue line segment on the graph</em>
B. .........................
Perpendicular lines have slopes of negative reciprocal
Considering this and one of the points of a perpendicular line of (-3, 4)
we can calculate the other point.
- Slope of AB = (4-2)/(2 +3) = 2/5
- So slope of the lime QU = -5/2
The other point will have coordinates:
- -3 + 2 = -1 , here 2 is the denominator of the slope
and
- 4 -5 = -1, here -5 is the numerator of the slope
So the line segment is QU with coordinates of (-3, 4) and (-1, -1)
<em>This is red line segment on the graph</em>
