How to Find the YIntercept from a Linear Equation in General Form
Finding the YIntercept from a Linear Equation in General Form
The yintercept is where a line crosses the yaxis.
A line can be represented by a linear equation. We can find the yintercept from a linear equation.
How to Find the YIntercept from a Linear Equation in General Form
Question
Find the yintercept of the line given by the linear equation shown below.
StepbyStep:
1
Substitute x = 0 into the linear equation 3x + 2y + 4 = 0. This gets rid of the term with x in it.
3(0) + 2y + 4 = 0
2y + 4 = 0
We now want to solve for y. We need to rearrange the equation using algebra to find y =.
2
Subtract 4 from both sides.
2y + 4 − 4 = 0 − 4
2y = −4
3
Divide both sides by the 2 in front of the y.
2y ÷ 2 = −4 ÷ 2
y = −2
Answer:
The yintercept of the line given by the linear equation 3x + 2y + 4 = 0 is −2.
Understanding Finding the YIntercept from a Linear Equation in General Form
A linear equation (in general form) is given in the form below:
To find the yintercept, we need to find out where the line represented by this equation crosses the yaxis.
Along the yaxis, x has a value of 0.
This means that if we substitute x = 0 into a linear equation and find out what y equals, we will find the yintercept.
More Examples of Finding the YIntercept of a Line from Linear Equations
All of the linear equations we have seen in this lesson have been in general form (ax + b + c = 0).
There are other forms of linear equation. You must be able to find the yintercept in all forms of linear equation.
The method is the same. Substitute x = 0 into the linear equation and solve for y.

You need to be able to find the yintercept of a linear equation in slopeintercept form:
Read more about finding the yintercept from a linear equation in slopeintercept form

You need to be able to find the yintercept of a linear equation in slopepoint form:
Read more about finding the yintercept from a linear equation in slopepoint form