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2 years ago

What is an equation of the line that passes through the points ( -6, -3) and (-8, -4)?

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

5 0

Answer:

y = 1/2x.

Step-by-step explanation:

THe slope of the line = (y2-y1)/(x2-x1)

= (-4-(-3))/(-8-(-6))

= -1/-2

= 1/2.

y - y1 = m)x - x1)

y - (-3) = 1/2(x - (-6))

y + 3 = 1/2(x + 6)

y = 1/2x + 3 - 3

y = 1/2x Answer.

Iteru [2.4K]2 years ago

4 0

X = 2y because in both points the x value is double the y value :)

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Sanjit drives the 45 km distance between York and Leeds he then drives a further 42 km from Leeds to Blackpool

I am Lyosha [343]

Answer: His average speed for his total journey from York to Blackpool is approximately 61.41 km/h.

Step-by-step explanation:

$\text{ The average speed}=\frac{\text{Total distance covered}}{\text{Total time taken}}$

Since, The distance covered by him from York to Leeds = 45 km,

The speed when he covered this distance = 54 km/ h

Thus, the time taken by him in travelling from York to Leeds = 45/54 hours (Because, Time = Distance/speed)

Now, The distance covered by him from Leeds to Blackpool = 42 km,

The time taken by him in travelling from Leeds to Blackpool = 35 minutes = 35/60 hours

Hence, the total time taken by him in this journey

$=\frac{45}{54}+\frac{35}{60}=\frac{450+315}{540}=\frac{765}{540}=\frac{17}{12}$ hours

And, the total distance he covered= 45 + 42 = 87 km

Thus, His average speed

$=\frac{87}{17/12}= \frac{12\times 87}{17}=\frac{1044}{17}=61.4117647\approx 61.41\text{ km per hour}$

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4 years ago

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