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1 answer:
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Answer/Step-by-step explanation:
✍️The equation of the line in point-slope form:
The equation is given as , where,
(a, b) = a point on the line.
Let's find the slope (m) of the line, housing (3, 21) and (6, 12):
Substitute a = 3 and b = 21, m = -3 into .
Thus, the point-slope equation would be:
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✍️The equation of the line in slope-intercept form:
Rewrite , so that y is made the subject of the formula.
Add 21 to both sides
✅The slope-intercept equation of the line is
Where,
-3 = how much did his delivery time decrease per day (slope)
30 = how long it initially took Peter to deliver his packages (y-intercept)
9514 1404 393
Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
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b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
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c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
