Hello Nozohonoumi,
Answer:
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Answer: m = 2
Step-by-step explanation:
What we know:
- The slope needs to pass through the points (1, -5) and (4, 1)
- There are 4 potential slopes given to us- only one is correct
- We need to find the slope and make sure it is an option
How to solve:
By using the slope equation and the two points given to us, we can calculate the slope.
Process:
- Set up equation (y2 - y1) / (x2 - x1)
- Substitute (1 +5 ) / (4 - 1)
- Simplify 6 / 3
- Simplest form 2/ 1 =
Slope = 2
Solution: m = 2
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
Answer:
1. PQ
2. PR
3. OR/OP
4. OR/OP
5. RO
Step-by-step explanation:
Answer:
it is D. the murmurs of a group
Step-by-step explanation: