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olga_2 [115]
3 years ago
10

Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoin

t of the points A and B (iii) Find the distance between points A and B.
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

Slope: -1/6

Midpoint of AB: (1, 8.5)

Distance of AB: √37

Step-by-step explanation:

Slope formula: m = \frac{y2-y1}{x2-x1}

Midpoint formula: (\frac{x1+x2}{2} ,\frac{y1+y2}{2} )

Distance formula: d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}

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Answer:

K'= (-1,-1)

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Step-by-step explanation:

What you do here is, input the (x,y) coordinates into the translation.

For example, the original point K is (-3,5). Insert this into the translation.

(-3,5) → (-3+2, 5-8) = (-1,-3)

Repeat this for the next coordinates of L and J.

J= (-3,3)

(-3,3) → (-3+2, 3-8) = (-1,-5)

L= (-2, 5)

(-2, 5) → (-2+2, 5-8) = (0,-3)

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Step-by-step explanation:

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So the equation is

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