Write the equation of the linear function that passes through the points (2, -2) and ( 6,0).
To find the equation of the linear function passing through the given points, we first need to calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Given points are (2, -2) and (6, 0):
m = (0 - (-2)) / (6 - 2)
m = 2 / 4
m = 0.5
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (2, -2):
y - (-2) = 0.5(x - 2)
y + 2 = 0.5x - 1
y = 0.5x - 3
Therefore, the equation of the linear function passing through the points (2, -2) and (6, 0) is y = 0.5x - 3.