Respuesta :
Answer:
To find the Y-intercept, let X = 0. To find the X-intercept, let Y = 0.
Step-by-step explanation:
Let Y + 5 = 2(X + 1) be the equation.
- Y + 5 = 2(X + 1)
- Y + 5 = 2X + 2 (Distributing 2 over the sum X + 1)
To find the X-intercept, let Y = 0 then solve for X :
- 0 + 5 = 2X + 2 (Substituting Y by 0)
- 5 = 2X + 2 (Evaluate)
- 5 - 2 = 2X (Simplifying by subtracting both sides by 2)
- 3 = 2X (Evaluate)
- 2X = 3 (Symmetric property of equality: see notes below)
- X = 3/2 (Evaluate by dividing both sides by 2)
Similarly, to find Y-intercept, let X=0 then solve for Y:
- Y + 5 = 2(0) + 2 (Substituting X by 0)
- Y + 5 = 2 (Evaluate)
- Y = -3 (Evaluate by subtracting both sides by 5)
Note:
- Symmetric Property of Equality "=" states that given an equation A = B, it is just equivalent to B = A. So, for the equation Y + 5 =2(X + 1), this is equivalent to 2(X + 1) Y + 5.
