Write an equation in slope-intercept form of the trend line.
y = ???
The graph shows a line on the Y axis at 45, going down to 4.5 on the x axis.
To find the equation in slope-intercept form of the trend line, we need to calculate the slope and the y-intercept using the given points (0, 45) and (4.5, 0).
First, let's find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
m = (0 - 45) / (4.5 - 0)
m = -45 / 4.5
m = -10
Now we have the slope (m = -10), so we can substitute it into the slope-intercept form equation, y = mx + b, and use one of the given points to find the y-intercept.
Using the point (0, 45):
45 = -10(0) + b
b = 45
Now that we have the slope and the y-intercept, the equation of the trend line in slope-intercept form is:
y = -10x + 45