The scatter plot below shows the profit earned each month by a new company over the first year of operation. The owner writes a
line of best fit equation, shown below, to model the relationship between profit earned and month. y = 2,500x - 2,500 Explain how you know that the line of best fit equation is appropriate, mentioning both the slope and y-intercept in your response.
1 answer:
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Answer:
p = - 5
Step-by-step explanation:
The vertex of the function is (0.5, 30.25 )
Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical
with equation x = 0.5
The axis of symmetry passes through the midpoint of the roots, thus
= 0.5 ( multiply both sides by 2 )
6 + p = 1 ( subtract 6 from both sides )
p = - 5
hello
so this equation is written in point slope form:
we can solve for y to get the equation into slope intercept form: y=mx+b
y+1=4/3x
subtract 1 from both sides
y=4/3x-1
slope: 4/3
y-intercept: -1
hope this helps
have a nice day :)