1: Assuming this line is linear, the first thing to do is find the slope.
The slope formula is
![m=\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B%20y_%7B2%7D%20-%20y_%7B1%7D%20%7D%7B%20x_%7B2%7D%20-%20x_%7B1%7D%20%7D%20)
, so in this case, it is
![m=\frac{ (-7) - (-9) }{ 2 - (-5) }](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B%20%28-7%29%20-%20%28-9%29%20%7D%7B%202%20-%20%28-5%29%20%7D%20)
, which comes to
![\frac{2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B7%7D%20)
. Then, use your slope and one of the points given to write the point-slope formula of the linear equation, and then written in standard form:
y=
![\frac{2}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B7%7D%20)
x-
![\frac{53}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B53%7D%7B7%7D%20)
.
2. Use the same process as in question 1 to find:
y=-7x+11
<h2>○=> <u>Correct option</u> :</h2><h2>
![\color{hotpink}\bold{ (a) \: 130}](https://tex.z-dn.net/?f=%5Ccolor%7Bhotpink%7D%5Cbold%7B%20%28a%29%20%5C%3A%20130%7D)
</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
![=\tt 3p + 1 + p + 7 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%203p%20%2B%201%20%2B%20p%20%2B%207%20%3D%20180)
Let us solve that equation to find the value of p and the two angles :
![=\tt 3p + 1 + p + 7 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%203p%20%2B%201%20%2B%20p%20%2B%207%20%3D%20180)
![=\tt 3p + p + 1 + 7 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%203p%20%2B%20p%20%2B%201%20%2B%207%20%3D%20180)
![=\tt 4p + 8 = 180](https://tex.z-dn.net/?f=%20%3D%5Ctt%204p%20%2B%208%20%3D%20180)
![= \tt4p = 180 - 8](https://tex.z-dn.net/?f=%20%3D%20%5Ctt4p%20%3D%20180%20-%208)
![= \tt4p = 172](https://tex.z-dn.net/?f=%20%3D%20%5Ctt4p%20%3D%20172)
![=\tt p = \frac{172}{4}](https://tex.z-dn.net/?f=%20%3D%5Ctt%20p%20%3D%20%20%5Cfrac%7B172%7D%7B4%7D%20)
![\hookrightarrow \tt \color{plum}p = 43](https://tex.z-dn.net/?f=%5Chookrightarrow%20%5Ctt%20%20%5Ccolor%7Bplum%7Dp%20%3D%2043)
Thus, value of p = 43
Measure of angle (p+7)° :
![=\tt 43 + 7](https://tex.z-dn.net/?f=%20%3D%5Ctt%2043%20%2B%207)
![\tt\color{plum}angle \: (p + 7)° =\tt 50°](https://tex.z-dn.net/?f=%5Ctt%5Ccolor%7Bplum%7Dangle%20%5C%3A%20%28p%20%2B%207%29%C2%B0%20%3D%5Ctt%2050%C2%B0)
Measure of angle (3p+1)° :
![=\tt 43 \times 3 + 1](https://tex.z-dn.net/?f=%20%3D%5Ctt%2043%20%5Ctimes%203%20%2B%201)
![= \tt129 + 1](https://tex.z-dn.net/?f=%20%3D%20%5Ctt129%20%2B%201)
![\tt\color{plum}angle \: (3p + 1)° = 130°](https://tex.z-dn.net/?f=%5Ctt%5Ccolor%7Bplum%7Dangle%20%5C%3A%20%283p%20%2B%201%29%C2%B0%20%3D%20130%C2%B0)
Thus, the measure of the larger angle = 130°
Therefore, the correct option is <em>(a) 130</em>
The range would be 14.
Explanation: you subtract the lowest and highest values in the set of data, which would be 1 and 15
None of these are equivalent to 34; they're all different values.
Answer:
hi
Step-by-step explanation: