Question 2 (1 point) For problem 2 - 26, what is the slope of line C?
A
B
2-26.
D
+
E
8
10
2
a
m = 2
Ob
m = -2/3
c
m = 0

Option e: 2/3 is the correct answer.

Step-by-step explanation:

The slope of a line is given by:

Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.

The two points are:

(x1,y1) = (9,4)

(x2,y2) = (3,0)

Putting the values in the formula

The slope of line C is: 2/3

Hence,

Option e: 2/3 is the correct answer.

Step-by-step explanation:

Given that a parabola has a vertex at the origin.

The equation of the directrix of the parabola is y = 3.

When directrix  is a horizontal line y =3 we find that distance of vertex from directrix is 3 units.

By definition of parabola, the focus lies on the axis of parabola which here is x=0(since perpendicular to y=3 and through vertex)

Since any point is equidistant from focus and directrix,

we get vertex is 3 units down from origin on y axis.

Hence focus is (0,-3)