Answer:
y-8x+7=0
Step-by-step explanation:
slope(m)=8
using slope intercept form of equation of staright line we get
y=mx+b
y=8*x+b
y-8x=b ................ eq(i)
since the line include the point (2,9) it satisfies the euation,
here x=2 and y=9
equation: y-8x=b
9-8*2=b
9-16=-b
-7=b
substituting the value of b in eq(i) we get
y-8x=-7
y-8x+7=0 is a required equation of the line.
Answer: C) y ≥ 3x - 2; ![y\leq \dfrac{1}{2}x+3](https://tex.z-dn.net/?f=y%5Cleq%20%5Cdfrac%7B1%7D%7B2%7Dx%2B3)
<u>Step-by-step explanation:</u>
Blue line:
y-intercept (b) = -2
slope (m) is 3 up, 1 right = 3
shading is above
⇒ y ≥ 3x - 2
Yellow line:
y-intercept (b) = 3
slope (m) is 1 up, 2 right = ![\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D)
shading is below
![\implies \bold{y\leq \dfrac{1}{2}x+3}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cbold%7By%5Cleq%20%5Cdfrac%7B1%7D%7B2%7Dx%2B3%7D)
John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.
<h3>Who was John Locke?</h3>
John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.
<h3>What were his outstanding ideas?</h3>
Some of the most popular and important postulates of John Locke were:
- The State's main mission is to protect the three natural rights: life, liberty and private property.
- Individuals have a fourth right, the right to defend these rights, as well as any other individual freedom of citizens.
- The citizen cedes some rights to the State through a written consensus or constitution.
- The government must be made up of a king and a parliament. Parliament is where popular sovereignty is expressed and where laws are made that must be followed by both the king and the people.
- He described the separation of legislative and executive power.
- The authority of the State is sustained by the principles of popular sovereignty and legality.
- Power is not absolute but must respect human rights.
Learn more about John Locke in: brainly.com/question/13346823
I need choices so i can see which one is right