First, we need to find the slope of the line passing through the two points.
Slope = (y2 - y1) / (x2 - x1)
Slope = (3 - 1) / (-3 - (-5))
Slope = 2 / 2
Slope = 1
Now that we have the slope, we can use the point-slope form of the equation of a line to write the equation of the function:
y - y1 = m(x - x1)
Using the point (−5,1):
y - 1 = 1(x - (-5))
y - 1 = x + 5
Now, simplify the equation:
y = x + 6
Therefore, the equation of the linear function passing through the points (−5,1) and (−3,3) is y = x + 6.
Write the equation of the linear function that passes through the points (−5 1) and (−3 3).
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