Question

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

Y=__x+__

Answer 1

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 using the formula (y2-y1)/(x2-x1).

Slope = (10-1)/(5-2)
Slope = 9/3
Slope = 3

Now that we have the slope, we can use the point-slope formula to find the equation of the linear function:

y - y1 = m(x - x1)

Using the point (2,1):

y - 1 = 3(x - 2)
y - 1 = 3x - 6
y = 3x - 5

So, the equation of the linear function passing through the points (2,1) and (5,10) is y = 3x - 5.