write the equation of the linear function that passes through the points (8, 4) and (10, 5)
To find the equation of the linear function passing through the points (8, 4) and (10, 5), we first need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substitute the coordinates of the two points into the formula:
m = (5 - 4) / (10 - 8)
m = 1 / 2
m = 0.5
Now that we have the slope (m = 0.5), we can use the point-slope form of a linear equation to find the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
Using the point (8, 4):
y - 4 = 0.5(x - 8)
Now simplify the equation:
y - 4 = 0.5x - 4
y = 0.5x
Therefore, the equation of the linear function passing through the points (8, 4) and (10, 5) is y = 0.5x.