Question

Y+5=2(x+1) determine the intercepts of the line?

Answer 1

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:

1. 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.