Find the equation of a line that passes through the points (6,7) and (8,3).
1 answer:
Answer:
y=-2x+19
Step-by-step explanation:
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m= .
Now we have,
m= 3-7/8-6
m=-2. Since m=-2, the equation is y=-2x+b.
To find b, think about what your (x,y) points mean:
(6,7). When x of the line is 6, y of the line must be 7.
(8,3). When x of the line is 8, y of the line must be 3.
Substitute them to the equation y=-2x+b.
You can use either (x,y) point you want..the answer will be the same:
(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.
(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.
So, the equation of the line that passes through the points
(6,7) and (8,3) is y=-2x+19.
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Answer:
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.
Step-by-step explanation:
The total milligrams of levonorgestrel is:
In which and
are the number of miligrams of levonorgestrel taken in each phase.
The total milligrams of ethinyl estradiol is:
In which and
are the number of miligrams of ethinyl estradiol taken in each phase.
We can solve this by phase.
Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol
In this phase,
of levonorgestrel and
of ethinyl estradiol are taken.
So and
The total milligrams of levonorgestrel is:
The total milligrams of ethinyl estradiol is:
1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.