Respuesta :
Equation of line that passes through (3,4) and is perpendicular to 4x - 2y = 12 will be x + 2y = 11.
What is the equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
Given,
4x - 2y = 12 ⇒ y = 2x - 6 so slope will be 2
Now the slope of a line perpendicular to it will be
m × 2 = -1 ⇒ m = -1/2
Now,
Let's say that equation of that line is
y = mx + c
Now, substitute (3,4) and m = -1/2
4 = (-1/2)3 + c ⇒ c = 11/2
So, the equation will be
y = (-1/2)x + 11/2 ⇒ x + 2y = 11.
Hence "Equation of line that passes through (3,4) and is perpendicular to 4x - 2y = 12 will be x + 2y = 11".
For more about the equation,
brainly.com/question/10413253
#SPJ1
