Find the line's slope and a point on the line.y+4=3/2(x-3)
1 answer:
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Answer:
Step-by-step explanation:
Let's call y the number of patients treated each week
Let's call x the week number.
If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:
Where m is the slope of the equation and b is the intercept with the x-axis.
If we know two points on the line then we can find the values of m and b.
We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:
(5, 90)
We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:
(10, 60).
Then we can find m and b using the followings formulas:
and
In this case: and
Then:
And
Finally the function that shows the number of patients seen each week at the clinic is:
The x-intercept is (1, 0) and (-0.5, 0).
The correct option is (a)
<h3>What is intercept?</h3>The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given function is:
f(x)=
So, The graph of this equation is attaches below.
The x- intercepts of this graph
or
X intercepts: (1, 0) and (-0.5, 0)
Hence, the x-intercept is (1, 0) and (-0.5, 0).
Learn more about intercept here:
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