How to Find the YIntercept from a Linear Equation in SlopePoint Form
Finding the YIntercept from a Linear Equation in SlopePoint 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 SlopePoint Form
Finding the yintercept of a line from a linear equation in slopepoint form is easy.
Question
Find the yintercept of the line given by the linear equation shown below.
StepbyStep:
1
Substitute x = 0 into the linear equation y − 4 = 2(x − 1). This gets rid of the term with x in it.
y − 4 = 2(0 − 1)
y − 4 = 2(−1)
We now want to solve for y. We need to rearrange the equation using algebra to find y =.
2
Evaluate the right hand side by multiplying the number before the brackets with the number inside the bracket.
y − 4 = 2(−1) = 2 × (−1)
y − 4 = −2
Don't forget: A positive number multiplied by a negative number equals a negative number.
3
Add 4 to both sides (because 4 is the number being subtracted from y).
y − 4 + 4 = −2 + 4
y = 2
Answer:
The yintercept of the line given by the linear equation y − 4 = 2(x − 1) is 2.
Understanding Finding the YIntercept from a Linear Equation in SlopePoint Form
A linear equation (in slopepoint 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 slopepoint form (y − y_{1} = m(x − x_{1})).
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 general form:
Read more about finding the yintercept from a linear equation in general form

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