A line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?

1 answer:

Pie3 years ago

6 0

Answer:
u = -2

Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)

Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2

Hope this helps :)

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Challenge Problem/Group Activity

8_murik_8 [283]

The different ways that they can vote is given as 16 different ways.

<h3>How to calculate the ways that they can vote</h3>

The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.

This tells us that each person only has 2 choices of what they want.

Hence given that the board members ar 4, we would have 2⁴

= 2 * 2 * 2 * 2

= 16

Hence the different ways that they can all vote is 16.

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