To join the points (2, 16) and (8, 4), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points:
m = (4 - 16) / (8 - 2)
m = -12 / 6
m = -2
Now that we have the slope, we can choose either of the two points and substitute its coordinates into the slope-intercept form to find the y-intercept (b).
Let's choose the point (2, 16):
16 = -2(2) + b
16 = -4 + b
b = 20
Now we have the slope (m = -2) and the y-intercept (b = 20), we can write the equation of the line:
y = -2x + 20
This equation represents the line passing through the points (2, 16) and (8, 4).
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