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Re: Equation of a line is given as 3x+2y=6. What is the sum of the x inter [#permalink]
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↧↧↧ Weekly Video Solution to the Problem Series ↧↧↧




We need to find the sum of x intercept and y intercept of the line 3x + 2y = 6

We can find the x intercept by putting y = 0, as x intercept is the point where the line intersects the x-axis. And all points on the x-axis have y coordinate=0

=> 3x + 2*0 = 6
=> x = \(\frac{6}{3}\) = 2

We can find the y intercept by putting x = 0, as y intercept is the point where the line intersects the y-axis. And all points on the y-axis have x coordinate=0

=> 3*0 + 2y = 6
=> y = \(\frac{6}{2}\) = 3

=> Sum of x intercept and y intercept = 2 + 3 = 5

So, Answer will be D
Hope it helps!

Watch the following video to learn the Basics of Co-ordinate Geometry

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Re: Equation of a line is given as 3x+2y=6. What is the sum of the x inter [#permalink]
fitzpratik wrote:
Equation of a line is given as 3x+2y=6. What is the sum of the x intercept and y intercept of this line?

A. 3

B. -3

C. -5

D. 5

E. 4

At x intercept \(y = 0\)

So, \(3x+2y=6\)

Or, \(3x+2*0=6\)

Thus, \(x = 2\)

At y intercept \(x = 0\)

So, \(3x+2y=6\)

Or, \(3*0+2y=6\)

Thus, \(2y = 6\)

Hence, \(y = 3\)

\(x + y = 5\), Answer must be (D)
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Re: Equation of a line is given as 3x+2y=6. What is the sum of the x inter [#permalink]
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