To determine the slope of the line, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slope using the first two points:
slope1 = (-3 - (-4)) / (-2 - (-4))
= (-3 + 4) / (-2 + 4)
= 1 / 2
= 0.5
Now, let's calculate the slope using the last two points:
slope2 = (-2 - (-3)) / (0 - (-2))
= (-2 + 3) / (0 + 2)
= 1 / 2
= 0.5
Since both calculations result in a slope of 0.5, we can conclude that the slope of the line is 0.5.
Determine the slope of the line.
(-4,-4) (-2,-3) (0,-2)
3 answers
The distance John ran is directly proportional to his time in minutes. Write an equation to model this situation.
Time in minutes (t):
62.5
125
187.5
Distance in miles (d):
5
10
15
Time in minutes (t):
62.5
125
187.5
Distance in miles (d):
5
10
15
To model a situation where the distance John ran is directly proportional to his time in minutes, we can use the equation:
d = kt
where d is the distance in miles, t is the time in minutes, and k is the constant of proportionality.
To find the value of k, we can use one set of data points. Let's use the first data point:
d = 5
t = 62.5
Using these values in the equation, we can solve for k:
5 = k * 62.5
Dividing both sides by 62.5:
k = 5 / 62.5
Simplifying:
k = 0.08
Therefore, the equation to model this situation is:
d = 0.08t
d = kt
where d is the distance in miles, t is the time in minutes, and k is the constant of proportionality.
To find the value of k, we can use one set of data points. Let's use the first data point:
d = 5
t = 62.5
Using these values in the equation, we can solve for k:
5 = k * 62.5
Dividing both sides by 62.5:
k = 5 / 62.5
Simplifying:
k = 0.08
Therefore, the equation to model this situation is:
d = 0.08t