Too Big or Mot Too Big. That is the Cumention Retrieval 1. Identify which of the given points are solutions to the following linear equation. Seltect all that. are solutions. \[ y=-4 x+5 \] A. \( (-4,5) \) D. \( (2,-3) \) 8. \( (-2,13) \) E. \( (4,-11) \) c. \( (0,-4) \)
Upstudy AI Solution
Answer
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Mind Expander
To determine which points are solutions to the equation \(y = -4x + 5\), simply substitute the \(x\) value of each point into the equation and see if it gives the corresponding \(y\) value. - For \( (-4, 5) \): \(y = -4(-4) + 5 = 16 + 5 = 21\) (not a solution) - For \( (2, -3) \): \(y = -4(2) + 5 = -8 + 5 = -3\) (this is a solution!) - For \( (-2, 13) \): \(y = -4(-2) + 5 = 8 + 5 = 13\) (this is a solution!) - For \( (4, -11) \): \(y = -4(4) + 5 = -16 + 5 = -11\) (this is a solution!) - For \( (0, -4) \): \(y = -4(0) + 5 = 0 + 5 = 5\) (not a solution) So the solutions are \( (2, -3) \), \( (-2, 13) \), and \( (4, -11) \). Here's a quick math tip: Remember that checking solutions by substituting is like being a detective solving a mystery—every number is a clue that leads you to the right answer! And remember, it's super easy to mistakenly swap or miscalculate signs when working with negative numbers, so always double-check those critical components.