When the equation is written in the slope-intercept form (y=mx+b), we can find the y-intercept by looking at the equation. The value of b is the y-intercept. This is because the y-intercept is when the x value equals 0. When x = 0, mx = 0, so when x = 0, y = b.

To find the x-intercept, we set y = 0 and solve the equation for x. This is because when y = 0 the line crosses the x-axis.

When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.

Find the X and Y-Intercepts of a Line Using Algebra

Video Source (08:37 mins) | Transcript

To find y-intercept, set x = 0 and solve for y. The point will be (0, y).

To find x-intercept, set y = 0 and solve for x. The point will be (x, 0).

## Additional Resources

- Khan Academy: Introduction to Intercepts (06:32 mins, Transcript)
- Khan Academy: X-intercept of a Line (01:42 mins, Transcript)
- Khan Academy: Intercepts from an Equation (04:07 mins, Transcript)

### Practice Problems

**1. Find the y-intercept of the line:**(

Solution

\({\text{y}}=-3{\text{x}}-9\)

**2. Find the x-intercept of the line:**(

Solution

\({\text{y}}=-4{\text{x}}+12\)

**3. Find the y-intercept of the line:**(

Solution

\({\text{y}} − 9 = 3x\)

**4. Find the x-intercept of the line:**(

Solution

\({\text{y}} + 12 = 2x\)

**5. Find the y-intercept of the line:**(

Solution

\({\text{x}}+6{\text{y}}=-24\)

**6. Find the x-intercept of the line:**(

Solution

\(5{\text{x}}+4{\text{y}}=-20\)

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