find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1

Mathematics

1 answer:

maw [93]3 years ago

5 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

For lines to be parallel, their slopes have to be the SAME.

The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b

y = 5/3x + 1

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Please help me i know this might take a while but plz my teacher be buggin <br> Due today

trasher [3.6K]

Answer:

5) Part A: The rate of change, also known as the slope, is the "0.6x" part of the equation. It means that for every week the puppy is alive, x, that number is multiplied by 0.6 pounds.

Part B: The y-intercept is 4 pounds, which represents a puppy being 4 pounds at birth.

Part C: y = 0.6x + 4

y = 0.6(8)+4

y = 8.8

At 8 weeks, a puppy is estimated to be 8.8 pounds.

Part D: y = 0.6x + 4

22 = 0.6 + 4

-4 -4

18 = 0.6x

18/0.6 = 0.6x/0.6

30 = x

It would take a puppy 30 weeks to reach 22 pounds.

8 0

2 years ago

A corporate attorney has weekends off and has 30 paid vacation days per year, including holidays that fall on weekdays. If his s

snow_tiger [21]

It's slightly ambiguous because the year isn't an even number of weeks, so sometimes that extra day falls on a weekend and sometimes on a weekday. We'll assume a weekend; that makes the numbers come out nice.

Total working days, 52 five day weeks minus 30 days vacation

$d = 52 \times 5 - 30 = 230$