The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2
Answer:
(0, -4)
Step-by-step explanation:
The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)
The ratio the required point partitions the line = 2 to 3
The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

Therefore, the required point is located as follows;

The coordinates of the point is (0, -4)
The equation of the line is y=2/3x + 0
Explanation: The y intercept (where the line crosses the y axis) is 0, and the slope is 2/3 (up two and 3 to the right)
Answer:
Line B
Step-by-step explanation:
Line B would best fit the scatter plot because the dots aline most similar to how Line B does. If you were to look at the angle Line B is at, most of the dots line up in the way Line B does. Therefore, Line B best fits the scatter plot.