Slope of the original line is 2-4 / 1-7 = 1/3
y = mx + b
2 = 1/3 (1) + b b= 5/3
original line is y = 1/3 x + 5/3 perpindicular slope is -3
Midpoint of original line is 4, 3
New line 3 = -3(4) + b b = 15
New perpindicular line y = -3x + 15
Here is a graph:
https://www.desmos.com/calculator/nljlb5kiy8
Slope of the original line is 2-4 / 1-7 = 1/3
y = mx + b
2 = 1/3 (1) + b b= 5/3
original line is y = 1/3 x + 5/3 perpindicular slope is -3
Midpoint of original line is 4, 3
New line 3 = -3(4) + b b = 15
New perpindicular line y = -3x + 15
Here is a graph:
https://www.desmos.com/calculator/nljlb5kiy8