Explanation:
Every point on the y-axis has 0 as its x-coordinate. The y-intercept is the point of intersection of the graph and the y-axis.
To find the y-intercept, let x = 0 in the equation of the graph and solve for y. The value of y is the y-intercept.
For example, what is the y-intercept of
2x + 3y = 6
Let x = 0.
2(0) + 3y = 6
Solve for y.
3y = 6
y = 2
The y-intercept is 2.