Final answer:
To find the linear equation satisfying the two points (1,3) and (10,21), we can first calculate the slope using the formula m = (y2 - y1) / (x2 - x1). Next, we can substitute one of the points and the slope into the point-slope form of a line equation to find the linear equation y = 2x + 1.
Step-by-step explanation:
To find the linear equation satisfying the two points (1,3) and (10,21), we can first calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (21 - 3) / (10 - 1) = 18 / 9 = 2
Next, we can substitute one of the points and the slope into the point-slope form of a line equation, which is:
y - y1 = m(x - x1)
Using the point (1,3), we have:
y - 3 = 2(x - 1)
y - 3 = 2x - 2
y = 2x + 1
Therefore, the linear equation that satisfies the two points is y = 2x + 1.