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skad [1K]
3 years ago
15

A line that includes the points (0,w) and (–1,2) has a slope of 6. What is the value of w?

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

8

Step-by-step explanation:

slope =  \frac{w - 2}{0 - ( - 1)}  \\  \\  \therefore \: 6 =  \frac{w - 2}{0 + 1} \\  \\  \therefore \: 6 =  \frac{w - 2}{1}  \\  \\ \therefore \:w - 2 = 6 \\  \\  \therefore \:w = 6 + 2 \\  \\  \therefore \:w = 8\\  \\

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Answer: ab =6

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\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\\frac{a+b+1}{ab}=1

=> a + b + 1 = ab

⇔ a + b + 1 - ab = 0

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because (b -1).(1-a) = -2 => we have the table:

b - 1        -1             1              2             -2

1 - a         2            -2            -1              1

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a.b            0           6             6               0

because a and b  are postive integers

=> (a;b) = (3;2) or (a;b) = (2;3)

=> ab = 6

Step-by-step explanation:

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