Answer:
Slope of line = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Slope of parallel line = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Slope of perpendicular line = (-2)
Step-by-step explanation:
Slope of a line passing through two points
and
is,
![m_1=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Therefore, equation of a line passing through points (1, -3) and (-1, -4) will be,
![m_1=\frac{-4-(-3)}{-1-1}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B-4-%28-3%29%7D%7B-1-1%7D)
![=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D)
If the slope of a line parallel to the given line is
,
Then by the property of parallel lines,
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
Therefore, slope of the parallel line will be
.
Property of perpendicular lines,
![m_1\times m_2=-1](https://tex.z-dn.net/?f=m_1%5Ctimes%20m_2%3D-1)
![\frac{1}{2}\times m_2=-1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20m_2%3D-1)
![m_2=-2](https://tex.z-dn.net/?f=m_2%3D-2)
Therefore, slope of the perpendicular line will be (-2).
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
51 x 8 = 408
It can be in this way: 51*8=408
The following are true:
<span>The graph has a relative minimum
The graph of the quadratic function has a vertex at (0,5)
The graph opens up
The axis of symmetry is x=0
It has a minimum point; there is a smallest value of y for this function. The vertex will be that minimum point, (0, 5). Since that is the vertex, that means x=0 is the axis of symmetry. It opens up because all of the other points are above the vertex.
It does not have any x-intercepts, since the lowest y-value is 5 (the vertex). The y-intercept would be at (0, 5), not (5, 0).</span>