Answer:
y = -1/2x + 3.5
Step-by-step explanation:
The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2
y = -1/2x + c
Now we can substitute x = 1 and y = 3 into the equation:
- 3 = -1/2(1) + c
- 3 = -1/2 + c
- c = 3 + 1/2
- c = 3 1/2 or 3.5 or 7/2
The equation of the line is y = -1/2x + 3.5
Hope this helps!
