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shtirl [24]
3 years ago
6

write the standard form of the line that passes through the given point. include your work in your final answer. (6,1)and (5,4)

Mathematics
2 answers:
bezimeni [28]3 years ago
7 0
We are given two points on a line. First we need to find the slope of the line using these two points.

The given points are (6, 1) and (5, 4). The slope (m) of the line will be:

m= \frac{4-1}{5-6} =-3

Using the slope and the point (6,1) we can write the equation in point slope form as:

y - 1 = -3(x -6)

y = -3x + 18 + 1

y = -3x + 19

In standard form, the equation will be:

3x + y = 19
patriot [66]3 years ago
7 0
First, find the slope of the line thru the given pts.  It is

         4-1       3
m = ------- = ----- = -3.
         5 -6      -1

Then use the slope-intercept formula:  4 = (-3)(5) + b, so that 4 = -15 + b.  Thus, b = 19.

The equation in slope-int form is y = -3x + 19.  To change this into standard form, subtract y from both sides:    0 = -3x - y + 19.  This is "std form."
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There is a group anxiously waiting to start their triathlon. They are in the sand getting ready for the first leg of the race…the swim!  They have roped off a rectangle of the beach that is 200 yards long and 10 yards wide.  The athletes are packed in trying fighting for the front. If we assume that 10 athletes can occupy 25 square feet, how many triathletes are?

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Step-by-step explanation:

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3 years ago
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Answer:

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