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Harman [31]
3 years ago
7

Give the equation of the line through the point ( - 10,9) with a slope of -1/5

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

  • Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b  ------ (1)

  • Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

  • Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

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As the sample size needed is 25 and total schools are 100 so this indicate 1 school in each 4 schools is to be selected. This is given as

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