The linear equation of this problem would be:
y = 3x - 5
To find the linear equation, we must identify slope (m) and y-intercept (b). Given the two coordinates, we can set up an equation to find the slope:
m = (y2 - y1) / (x2 - x1)
(-2 - (-8)) / (1 - (-1)) = 6 / 2 = 3
Therefore, the slope is 3.
To find the y-intercept, we substitute 3 into the slope-intercept form equation:
y = mx + b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Hence, the linear equation would be y = 3x - 5.