y-Intercept
How to find the y-intercept of a linear equation: definition, 1 example, and its solution.
Definition
The y-intercept is the intersecting point
of the graph and the y-axis.
Exampley-intercept of 3x + 4y = 12
Solution
Solution (Detail)
To find the y-intercept,
put x = 0
into the linear equation 3x + 4y = 12.
(y-axis is x = 0.)
Then 3⋅0 + 4y = 12.
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.
The y-intercept is y = 3.