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3 years ago

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

Mathematics

1 answer:

Serjik [45]3 years ago

5 0

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.

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