change the equation 2x+3y=6 into intercept form and explain in the graph?
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Given : 2x+3y=6
To find : intercept form
Solution:
2x + 3y = 6
Divide both sides by 6
=> 2x/6 + 3y/6 = 6/6
=> x/3 + y/2 = 1
x/3 + y/2 = 1 is the intercept form of equation 2x+3y=6
2x + 3y = 6
at x = 0 y = 2 => y intercept = 2
at y = 0 x = 3 => x intercept = 3
x/(x intercept) + y/(y intercept) = 1
x/3 + y/2 = 1
3 is where line cut x axis
2 is where line cut y axis
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