How do you find the x and y intercept given 3x + 2y = 123x+2y=12?

1 Answer
iceman
Oct 27, 2015

The x-intercept is at(4,0)(4,0)
The y-intercept is at(0,6)(0,6)

Explanation:

3x+2y=12=>3x+2y=12⇒ equation of a straight line in the standard form.

To find the x-intercept set y to zero then solve for x:
3x+2*0=123x+2⋅0=12
3x=123x=12
x=4x=4
:. the x-intercept is at (4,0)

To find the y-intercept set x to zero then solve for y:
3*0+2y=12
2y=12
y=6
:. the y-intercept is at (0,6)

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