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.

1 answer

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.