rite the equation of the linear function that passes through the points (2,1) and (5,10)

1 answer

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.