I thought I knew this stuff but now I'm starting to wonder. I've tried several times but I haven't been able to figure this out. there is also a diagram showing a water line where the y intercept is crossing over (0,-12).
the question is
Q: what is the slope and the y intercept of y = - 2/3x - 12
A: slope equals: - 2/3
the y intercept is: (0,-12)
Q: how do you know this is the y intercept?
A: I don't know. this is what I got but it doesn't make sense....
because if I replace y with 3 then
x = - 10 (3,10)
if i replace x with 3 then y = -14 (3,-14) when placed on a grid they cross over y intercept at -12
what am i doing wrong?!!!
To determine the y-intercept of a linear equation, you need to identify the point where the graph intersects the y-axis. In the equation y = -2/3x - 12, the y-intercept occurs when x is equal to 0.
To find the y-intercept, you can substitute x = 0 into the equation and solve for y:
y = -2/3 * 0 - 12
y = -12
Therefore, the y-intercept of the equation is (0, -12). This means that when x is 0, the value of y is -12, indicating that the graph crosses the y-axis at this point.
In your explanation, it seems that you are substituting y with a different value instead of x. Remember, when finding the y-intercept, you need to substitute x = 0 into the equation and solve for y.