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# Equation of a line is given as 3x+2y=6. What is the sum of the x inter

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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

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)
Re: Equation of a line is given as 3x+2y=6. What is the sum of the x inter [#permalink]
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