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Leona [35]
2 years ago
12

Work out the gradient of the line joining the points (2, 3) and (5,7)

Mathematics
1 answer:
Debora [2.8K]2 years ago
4 0

Answer:

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

Step-by-step explanation:

The gradient of the line joining two distinct point on a plane is represented by the slope of a secant line (m_{PQ}), that is:

m_{PQ} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}} (1)

If we know that P(x,y) = (2,3) and Q(x,y) = (5,7), then the gradient of the line is:

m_{PQ} = \frac{7-3}{5-2}

m_{PQ} = \frac{4}{3}

The gradient of the line joining the points P(x,y) = (2,3) and Q(x,y) = (5,7) is \frac{4}{3}.

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To the nearest​ millimeter, a cell phone is 72 mm long and 46 mm wide. What is the ratio of the width to the​ length
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Answer:

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Width = 46 mm

Ratio = 72:46 = 36:23

Step-by-step explanation:

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3 years ago
Find the distance between the points (1, 7) and (10, 1)<br> Please help:)
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Answer:

<em>The distance between the points (1, 7) and (10, 1) is 10.82 units</em>

Step-by-step explanation:

<u>Distance between two points </u>

The distance between points A(x,y) B(w,z) can be calculated with the formula:

d=\sqrt{(z-y)^2+(w-x)^2}

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

d=\sqrt{(1-7)^2+(10-1)^2}

d=\sqrt{(-6)^2+(9)^2}

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The distance between the points (1, 7) and (10, 1) is 10.82 units

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