SOLUTION: can you please help me solve ((( What is the y-intercept of line 2x + 3y=6? )))

Question 201719This question is from textbook geometry
: can you please help me solve ((( What is the y-intercept of line 2x + 3y=6? ))) This question is from textbook geometry

Found 2 solutions by Alan3354, nerdybill:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
What is the y-intercept of line 2x + 3y=6?
Put the eqn into slope-intercept form (that means solve for y).
3y = -2x+6
y = (-2/3)x + 2
y-intercept = 2, the point (0,2)

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
What is the y-intercept of line 2x + 3y=6?
.
Manipulate the given equation into the "slop-intercept" form:
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
.
Starting with:
2x + 3y=6
Subtracting 2x from both sides:
3y = -2x + 6
dividing both sides by 3:
y = (-2/3)x + 2
Therefore, the y-intercept is at (0,2)
.
********************************************
Another method:
Simply set x=0 and solve for y:
2x + 3y=6
2(0) + 3y=6
3y=6
y = 2
Therefore, the y-intercept is at (0,2)

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