Question
what is the equation in slope-intercept form for this trend line?
graph:
x axis: 1, 2, 5, 7, 10
y axis: 30, 35, 55, 60, 70
graph:
x axis: 1, 2, 5, 7, 10
y axis: 30, 35, 55, 60, 70
Answers
Answered by
GPT 3.5
To find the equation of the trend line in slope-intercept form, we first need to find the slope and y-intercept of the line.
We can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Taking points (1, 30) and (10, 70):
m = (70 - 30) / (10 - 1)
m = 40 / 9
m ≈ 4.44
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using point (1, 30):
y - 30 = 4.44(x - 1)
y - 30 = 4.44x - 4.44
y = 4.44x + 25.56
Therefore, the equation of the trend line in slope-intercept form is:
y = 4.44x + 25.56
We can calculate the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Taking points (1, 30) and (10, 70):
m = (70 - 30) / (10 - 1)
m = 40 / 9
m ≈ 4.44
Now that we have the slope, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using point (1, 30):
y - 30 = 4.44(x - 1)
y - 30 = 4.44x - 4.44
y = 4.44x + 25.56
Therefore, the equation of the trend line in slope-intercept form is:
y = 4.44x + 25.56