y-Intercept
How to find the y-intercept of a linear equation: definition, 1 example, and its solution.
Definition
Definition
The y-intercept is the intersecting point
of the graph and the y-axis.
Example
Example
Solution
The y-intercept is the intersecting point
of the linear equation 3x + 4y = 12 and the y-axis.
And the y-axis is x = 0.
So put x = 0 in the linear equation 3x + 4y = 12.
Then 3⋅0 + 4y = 12.
Then solve the equation.
Then y = 3.
So y = 3 is the y-intercept.
Graph
This is the graph of the linear equation 3x + 4y = 12.
By the above calculation,
you found that the y-intercept is y = 3.