Respuesta :
Answer:
(3,1)
Step-by-step explanation:
Calculate the rise-over-run ratio to find the slope between the points.
r/r between 0,5 and 2,2 was -3/2
r/r between 2,2 and 4,-1 was -3/2
r/r between 0,5 and 4,-1 was -6/4 = -3/2
r/r between 0,5 and 3,1 was -4/3
r/r between 2,2 and 3,1 was -1/1
as you can see the r/r for the points involving 3,1 was inconsistent with the rest, therefore it is not part of the linear system.
The point that the graph does not pass through is (3 ,1)
What is an equation?
An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
What is a linear equation?
An equation in which the slope is constant is called a linear equation.
What is slope?
- Slope is the measure of the line's inclination towards horizontal.
- Slope of a line joining points (a,b) and (c,d) can be found with the formula: [tex]\frac{d - b}{b-a}[/tex]
How to find point through which the graph does not pass ?
- The graph is linear.
- So the slope should be constant.
Slope of the graph between points (0, 5), (2, 2) = [tex]\frac{2-5}{2-0} = -\frac{3}{2}[/tex]
Slope of the graph between points (2, 2) , (4, -1) = [tex]\frac{-1-2}{4-2} = - \frac{3}{2}[/tex]
Slope of the graph between points (0, 5), (4, -1) = [tex]\frac{-1-5}{4-0} = -\frac{-6}{4} = - \frac{3}{2}[/tex]
Slope of the graph between points (3, 1) , (0, 5) = [tex]\frac{5-1}{0-3} = - \frac{4}{3}[/tex]
Slope of the graph between points (3, 1) , (2, 2) = - 1
Slope of the graph between points (3, 1) , (4, -1) = -2
- We can see that the slope is constant for the points (0, 5), (2, 2), (4, -1), and inconsistent for the point (3 , 1) with every other points.
So, we can say the graph is not passing through the point (3 , 1).
Find out more details on "Linear equation graph" here: https://brainly.com/question/14323743
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