In this question, we have o find the equation of line passing through point (1,1) and is perpendicular to the line
And slope of the given line is 5. And slopes of perpendicular lines are opposite and reciprocal of each other.
So slope of perpendicular line is
Using slope intercept form, which is
Substituting the values of x and y from the given point, and the value of m, we will get
adding 1/5 to both sides
So the required equation of line is
System of equations helps us to compare two different situations. The system is Independent Consistent System.
<h3>What is System of equation?</h3>Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Given to us
y = 4x - 4
y = -4x + 4
As we have the two equations, substitute the value of y of both the equations,
4x - 4 = -4x + 4
8x = 8
x = 1
We have the value of x as 1, substitute the value of x in the equation of y,
y = 4(1) - 4
y = 0
Since the two equations have a unique solution, therefore, the system is Independent Consistent System.
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