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

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.