algebra
posted by erika on .
how do you represent the xinterept of the graph y=2/3x+6?

for the xinercept let y = 0
0 = (2/3)x + 6
0 = 2x + 18
x = 9
if you want to rearrange the equation so that the xintercept can be read, like the b in y=mx + b is the yintercept, 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 xintercept, just like the b in y = mx +b was the yintercept,
BUT, notice that the number in front of y is NOT the slope, instead it is the reciprocal of the slope.