Posted by **erika** on Monday, October 26, 2009 at 9:40pm.

how do you represent the x-interept of the graph y=2/3x+6?

- algebra -
**Reiny**, Monday, October 26, 2009 at 10:21pm
for the x-inercept let y = 0

0 = (2/3)x + 6

0 = 2x + 18

x = -9

if you want to re-arrange the equation so that the x-intercept can be read, like the b in y=mx + b is the y-intercept, solve the equation for x

y = (2/3)x + 6

3y = 2x + 18

2x = 3y - 18

x = (3/2)y - 9

notice that the constant at the end is the x-intercept, just like the b in y = mx +b was the y-intercept,

BUT, notice that the number in front of y is NOT the slope, instead it is the reciprocal of the slope.

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