Write the equation of the linear function that passes through the points (2,1) and (5,10). y = ___x + ____
First, we need to find the slope of the line passing through the two points.
m = (y2 - y1) / (x2 - x1)
= (10 - 1) / (5 - 2)
= 9 / 3
= 3
Now, we can use the slope-intercept form of a linear equation to find the equation of the line.
y = mx + b
Using the point (2,1) to solve for the y-intercept (b):
1 = 3(2) + b
1 = 6 + b
b = -5
Therefore, the equation of the linear function is:
y = 3x - 5