Final answer:
The y-coordinate of the point where the graph of 2x – 3y = 12 crosses the y-axis is found by setting x to 0 and solving for y, resulting in a y-coordinate of 4.
Step-by-step explanation:
To find the y-coordinate of the point where the graph of 2x – 3y = 12 crosses the y-axis, we need to determine the y-intercept. The y-intercept occurs where the line crosses the y-axis, which is when x=0. To find this value, we simply substitute x with 0 in the equation and solve for y.
Substituting x with 0 gives us:
2(0) – 3y = 12
This simplifies to:
–3y = 12
Dividing both sides by -3 to solve for y gives us:
y = –12 / -3
y = 4
Therefore, the y-coordinate of the point where the graph crosses the y-axis is 4.