Step-by-step explanation:
General equation of a line in slope intercept form is given by
y = mx+c
where m is slope and c is y-intercept
Here, y = 5x+9
The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.
<h3>What is the slope?</h3>
The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.
The linear equation is given below.

Then the slope of the equation will be 1/3.
And the y-intercept will be 5/6.
More about the slope link is given below.
brainly.com/question/3605446
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Answer:
7. -37/36 or -1 1/36
8. -3/10
9. 1/24
10. -118/21 or -5 13/21
11. 97/12 or 8 1/12
12. 49/8 or 6 1/8
Step-by-step explanation:
To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.
7.
Find a common denominator
Combine the fractions
Answer. Already in lowest terms.
Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)
8.
Find a common denominator
Combine the fractions
Answer in simplest form.
9.
Find common denominator
Combine the fractions
Answer in simplest form
10.
Translate to improper fraction
Multiplied each whole number with base, added to numerator
Found common denominator
Combined fractions
Answer in improper form
Answer as a mixed number
11.
Convert to improper fraction
Two minuses make a plus
Find common denominator


Combined fractions
Answer as improper fraction
Answer as mixed fraction
12.
Convert to improper fraction

Find common denominator

Combined fractions
Answer as improper fraction
Answer as mixed number
Since we are asked to find the rate of change from Monday to Wednesday, we are dividing by 2, since Monday is day 1 and Wednesday is day 3. 3 - 1 = 2.
1800 + 500 = 2300 calories consumed Tuesday.
2300 - 100 = 2200 calories Wednesday.
(2200 - 1800)/2 = 400/2 = 200 calories
Answer:
Choice B
Step-by-step explanation:
7.1×10⁵ = 710,000