What is the slope of this line?

Question

x
y
(4,60)
(2,40)
0
2
4
6
8
10
12
0
20
40
60
80
100
120
140
Number of minutes
Temperature (°C)
Slope 0 = 0
y 0 = 0 mx+b

Answer 1

To find the slope of a line given two points, you can use the formula for the slope \( m \):

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

Given the points (4, 60) and (2, 40), we can assign:

• \( (x_1, y_1) = (2, 40) \)
• \( (x_2, y_2) = (4, 60) \)

Now, substitute these values into the slope formula:

\[ m = \frac{60 - 40}{4 - 2} = \frac{20}{2} = 10 \]

Thus, the slope of the line is \( m = 10 \).