Felix is baking a pie. He turns on the oven and waits for it to heat to 350 degrees before putting the pie in. Once the pie is done baking, he removes it and turns off the oven.

Question

What is the slope of this highlighted line segment?
x
y
(0,75)
(20,350)
0
10
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0
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350
Time (min)
Temperature (°F)
Use the points (0, 75) and (20, 350) to find the slope of this line.
The slope is
.

Answer 1

To find the slope of the line segment that connects the points \((0, 75)\) and \((20, 350)\), we can use the formula for the slope \(m\):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

where \((x_1, y_1)\) is the first point and \((x_2, y_2)\) is the second point. Here, we can assign:

• \((x_1, y_1) = (0, 75)\)
• \((x_2, y_2) = (20, 350)\)

Now we can substitute these values into the slope formula:

\[ m = \frac{350 - 75}{20 - 0} = \frac{275}{20} \]

Now, simplify \( \frac{275}{20} \):

\[ m = \frac{275 \div 5}{20 \div 5} = \frac{55}{4} = 13.75 \]

Thus, the slope of the line segment is

\[ \text{Slope} = 13.75 \]