Graphically solving 2X2 linear system and finding the line through 2 points

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SUMMARY

The discussion focuses on solving a system of linear equations using a graphing utility and finding the equation of a line through two specified points. The equations analyzed are y = -4x + 2 and x - 2y = 10, with the solution yielding x = 1.55 and y = -4.22. Additionally, the equation of the line passing through the points (4, -2) and (0, 6) is confirmed as y = -2x + 6. Both answers provided by the user are verified as correct.

PREREQUISITES
  • Understanding of linear equations and their graphical representations
  • Familiarity with graphing utilities or software
  • Knowledge of slope-intercept form of a line
  • Basic algebraic manipulation skills
NEXT STEPS
  • Explore the use of graphing utilities like Desmos or GeoGebra for visualizing equations
  • Learn about systems of equations and methods for solving them, such as substitution and elimination
  • Study the concept of slope and y-intercept in greater detail
  • Investigate applications of linear equations in real-world scenarios
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Students, educators, and anyone interested in mastering linear algebra concepts, particularly those focused on solving linear systems and understanding graphical representations of equations.

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Basically I don't know anyone in real life that can help me with this, so I need help checking to see if my answers are correct :)

PART A
1) Using a graphing utility solve the following system of linear equations. Round your answer to the nearest hundredth.

y = -4x+2
x - 2y = 10

My answer: x = 1.55 y = -4.22

2) Find the equation of the line that passes through the points (4,-2) and (0,6)

My answer: y = -2x + 6
 
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Re: Please check my answers - 1

drop said:
My answer: x = 1.55 y = -4.22
Right.

My answer: y = -2x + 6
Right.
 
Re: Please check my answers - 1

Thank you!
 

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