Which point is NOT on the line $$ y=3 x-2 $$ ? $$ (-2,-8) \quad(1,1) \quad(4,10) \quad(2,5) $$

Question

UpStudy AI · Accepted Answer

1. Start with the equation of the line:  
   $$
   y = 3x - 2
   $$

2. For each point, substitute the $$x$$-coordinate into the equation and check if the resulting $$y$$-value is equal to the given $$y$$-coordinate.

3. For the point $$(-2, -8)$$:  
   $$
   y = 3(-2) - 2 = -6 - 2 = -8
   $$  
   Since $$-8$$ equals the given $$y$$-coordinate, $$(-2, -8)$$ is on the line.

4. For the point $$(1, 1)$$:  
   $$
   y = 3(1) - 2 = 3 - 2 = 1
   $$  
   The $$y$$-coordinate matches, so $$(1, 1)$$ is on the line.

5. For the point $$(4, 10)$$:  
   $$
   y = 3(4) - 2 = 12 - 2 = 10
   $$  
   The $$y$$-coordinate matches, so $$(4, 10)$$ is on the line.

6. For the point $$(2, 5)$$:  
   $$
   y = 3(2) - 2 = 6 - 2 = 4
   $$  
   The calculated $$y$$-value, $$4$$, does not match the given $$y$$-coordinate, $$5$$.

7. Therefore, the point that is not on the line is:  
   $$
   (2, 5)
   $$
The point $$(2, 5)$$ is not on the line $$ y = 3x - 2 $$.

Which point is NOT on the line ?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions