The slope of a line is the ratio of vertical travel to horizontal travel, whether on a coordinate plane or in the real world. It can be positive or negative.
On an x-y plane, to find the slope of a line you would identify the coordiates of two points on the line, then form the ratio
slope = (difference of y-coordinates)/(difference of corresponding x-coordinates)
Given two points (x1, y1) and (x2, y2), the slope is computed as
slope = (y2 - y1)/(x2 - x1)
The points can be used in the computation in either order and the result will be the same. It is often convenient to have x2 > x1, so the denominator is positive. This can reduce errors in the arithmetic, but it is not required.
If the line is a vertical line, so that all x-values are the same, the slope is said to be "undefined."
On a conventionally drawn coordinate plane, a line with positive slope will go up to the right (/); a line with negative slope will go down to the right (\).
Answer:
Step-by-step explanation:
The directrix given to us has equation,
and the focus is 
.
This means that the axis of symmetry of the parabola is parallel to the y-axis and has equation 
, because it must go through the focus.
This axis of symmetry of the parabola will meet the directrix at 
.
The vertex of this parabola is the midpoint of the point of intersection of the axis of symmetry and the focus.
Thus,
.
The equation is given by 
.
.
is the distance between the vertex and the focus, which is 2.
This implies that,
or 
But the position of the directrix and the vertex implies that the parabola opens downwards.
.
The equation of the parabola now becomes;
.
We solve for y to obtain,
or
Answer:
Yes they are equivalent expressions
Step-by-step explanation:
2/4+5/6+7/2=29/6-1/2=26/6=13/3=4 1/3
