Answer: y = 4/3x - 29/3
Explanation:
First, since we want the equation of the line perpendicular to the line y = -3/4x + 1, then we know that the new equation will have a slope that, multiplied with -3/4, will give a product of -1. Therefore, the slope of the new line is 4/3.
Next, we can form an equation: y = 4/3x + b. We can plug in the coordinates (8,1) to get:
1 = 4/3(8) + b
1 = 32/3 + b
-29/3 = b
Finally, we have b solved. Forming the equation, we get: y = 4/3x - 29/3.