Through (2,6) and perpendicular to y=-5/4x+1

Y = -5/4x + 1the slope here is -5/4. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign, resulting in 4/5 (u see how I flipped -5/4 and turned it into 4/5...I then changed the sign and made it 4/5)

y = mx + b
slope(m) = 4/5 we are using the negative reciprocal here
(2,6)...x = 2 and y = 6
now we sub and find b, the y int
6 = 4/5(2) + b
6 = 8/5 + b
6 - 8/5 = b
30/5 - 8/5 = b
22/5 = b

so ur perpendicular equation is : y = 4/5x + 22/5

The solution to the system of equations (-2,2)