Given: AB || CD If the coordinates of point A are (8, 0) and the coordinates of point B are (3, 7), the y-intercept of AB is . I
f the coordinates of point D are (5, 5), the equation of line CD is y = x + .
1 answer:
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Answer:
y = -1/2 + 2 (Slope intercept)
Step-by-step explanation:
Y-intercept is when the x-value is 0.
So the y-intercept is (0, 2)
To find slope, find two random points:
(0, 2) , (2, 1)
Slope (m) =ΔY/ΔX = -1/2 = -0.5
Equation of the line:
y = -0.5x + 2
or
y = -1/2 + 2
When x=0, y = 2
When y=0, x = 4
Answer:
- The center (2, 2.5), radius
/ 2
Step-by-step explanation:
<u>The standard form of the equation of a circle is: </u>
- ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
<u>Rewrite the given equation in the standard form:</u>
- 2x^2 + 2y^2 - 8x + 10y + 2 = 0
- x^2 - 4x + y^2 + 5y = -1
- x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
- (x - 2)^2 + (y + 2.5)^2 = 37/4
<u>The center is:</u>
- (2, 2.5)
<u>And radius is:</u>
- <u />
