Need help with this. Write an equation that is parallel to the line whose equation is y = −8x − 7?
1 answer:
Answer:
Problem 4: y = -8x+b
Problem 5: C: 3x-2
Step-by-step explanation:
<u>Problem 4:</u>
The given line is in slope intercept form.
The slope-intercept form is:
Here the co-efficient of x is the slope of the line. Comparing the given equation with general form
m = -8
Two parallel lines have same slope so the slope of line will be -8.
b can be any positive or negative integer as we don't know any point on the line parallel to given line.
<u>Problem 5:</u>
Slope = 3
y-intercept = -2
Slope intercept of line is given by:
here m is slope and b is y-intercept
Putting the values
Option C: y=3x-2 is the correct answer
Hence,
Problem 4: y = -8x+b
Problem 5: C: 3x-2
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y=2x-10
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Answer:
Increasing if f' >0 and decreasing if f'<0
Step-by-step explanation:
Difference quotient got by getting
will be greater than 0 if function is increasing otherwise negative
Here h is a small positive value.
In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.
Here given that for x1, x2 where x1<x2, we have
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Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.