To find the equation of the linear function passing through the points (2,1) and (5,10), we first need to find the slope of the line. The formula for slope is:
m = (y2 - y1) / (x2 - x1)
Using the points (2,1) and (5,10), we get:
m = (10 - 1) / (5 - 2)
m = 9 / 3
m = 3
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 (2,1) and the slope m = 3:
y - 1 = 3(x - 2)
y - 1 = 3x - 6
y = 3x - 6 + 1
y = 3x - 5
Therefore, the equation of the linear function passing through the points (2,1) and (5,10) is y = 3x - 5.
rite the equation of the linear function that passes through the points (2,1) and (5,10)
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