Question

Here is a linear equation, y = 1x +

5
Are (1, 1.5) and (12, 4) solutions to the equation? Why or why not?

Answer 1

• Just test the points in the equation
• Point 1: (1,1.5)
• 
  `y=x+5\\(1.5)=(1)+5\\1.5=6` ?? Is that true? No, so this point is not a solution
• Point 2: (12,4)
• 
  `y=x+5\\(4)=12+5\\4=17` ?? Not true, its not a solution.
• so neither is a solution because the equation is not satisfied

Answer 2

Explanation:

plug in both values and see if the equations are true

1.5 = 1(1) + 5

1.5 = 1 + 5

1.5 does not equal 6

so (1,1.5) is not a solution

4 = 1(12) + 5

4 = 12 + 5

4 does not equal 17

so (12,4) is not a solution