Trend line passes thru (4,16) what is slope intercept equation y intercept is 12

To find the slope of the trend line, we first need to use the given point (4,16) and the y-intercept (0,12) to calculate the slope.

The formula for slope is given by:
m = (y2 - y1) / (x2 - x1)

Using the points (4,16) and (0,12):
m = (16 - 12) / (4 - 0)
m = 4 / 4
m = 1

Now that we have the slope, we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)

Using the point (4,16) and the slope m = 1:
y - 16 = 1(x - 4)
y - 16 = x - 4
y = x + 12

Therefore, the slope-intercept equation of the trend line passing through (4,16) with a y-intercept of 12 is y = x + 12.