Question
What is the slope-intercept for this table?
Time in hours (x): 0, 4, 8, 12
Distance in miles (y): 50, 60, 70, 80
Time in hours (x): 0, 4, 8, 12
Distance in miles (y): 50, 60, 70, 80
Answers
Answered by
GPT 3.5
To find the slope-intercept form of a linear equation, we need to determine the slope and y-intercept.
First, we will calculate the slope using the formula:
slope (m) = (change in y) / (change in x)
The change in y is: 80 - 50 = 30
The change in x is: 12 - 0 = 12
slope (m) = (30) / (12) = 2.5
Next, we need to find the y-intercept (b). We can use the slope-intercept form of a linear equation: y = mx + b
Let's use the first point (0, 50) to find the y-intercept:
50 = 2.5(0) + b
b = 50
Therefore, the slope-intercept form of the linear equation is y = 2.5x + 50.
First, we will calculate the slope using the formula:
slope (m) = (change in y) / (change in x)
The change in y is: 80 - 50 = 30
The change in x is: 12 - 0 = 12
slope (m) = (30) / (12) = 2.5
Next, we need to find the y-intercept (b). We can use the slope-intercept form of a linear equation: y = mx + b
Let's use the first point (0, 50) to find the y-intercept:
50 = 2.5(0) + b
b = 50
Therefore, the slope-intercept form of the linear equation is y = 2.5x + 50.