What is the equation of the trend line in the scatter plot?
Use the two orange points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
To find the equation of the trend line, we first need to find the slope and y-intercept using the two orange points.
The two orange points are (3, 5) and (7, 9).
Slope (m) = (y2 - y1) / (x2 - x1)
= (9 - 5) / (7 - 3)
= 4 / 4
= 1
Now that we have the slope, we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
Using point (3, 5):
y - 5 = 1(x - 3)
y - 5 = x - 3
y = x + 2
Therefore, the equation of the trend line in slope-intercept form is:
y = x + 2.