Answer:
y= -2/5+5
Explanation:
A line must always be written in the form y= and the line given is not. Dividing both sides of the equation by 2 you get y=5/2x-4. This is the equation of the line given.
Perpendicular line have gradients that, when they are multiplied, they are equal to -1
The line given multiplied by the gradient of the line(the one required to find)= - 1. That is 5/2×line= -1.
Dividing both sides of the equation by 5/2 you'll get - 2/5. This is the gradient of the line required.
Using the general formula y=mx+c substitute the gradient into the equation. You'll get something like this y= -2/5x+c.
Substitute the given point into the equation. You'll get something like this 3= -2/5(5)+c.
Calculate the value of c. You'll get c=5.
Substitute the value of c into the original equation. You'll get something like this y= -2/5+5
This is the equation: y= -2/5+5