The points (10,14) and (35,49) form a proportional relationship. Find the slope of the line through the points. Then use t
1 answer:
The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
<h3>What is the slope?</h3>The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the above formula, we can find the slope of the line:
m = (49-14)/(35-10)
m = 35/25
m = 7/5
The equation will be:
y = 7x/5 + c
here c is the y-intercept
Plug (10, 14) in the equation to find the value of c
14 = 7(10)/5 + c
c = 0
y = 7x/5 or
5y - 7x = 0
Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points (10,14) and (35,49) form a proportional relationship.
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Answer:
A
Step-by-step explanation:
The general form of compound growth formula is:
Where
F is the future amount
P is the initial amount
r is the rate of growth in decimal
t is the time in years
In the problem, initially there is 825 quail, so
P = 825
The future amount is given as "Y", so we will replace "F" of formula by "Y"
The rate of growth in 13%. This converted to decimal is:
13/100 = 0.13
The time is 3 years, so t = 3
Now, we substitute and find the model equation:
Correct answer choice is A
Step-by-step explanation:
[tex] - 24 \div 4 = \\ \frac{ - 24}{4} \\ = \frac{ - 12}{2} \\ = /frac{-6}{1}