Finding the y-intercept, step by step

The y-intercept is where a line crosses the y-axis.

The question

the y-intercept of 5x + y = 5

5x + y = 5x = 0
y = 5
y = 5
  1. The y-intercept is where the line crosses the y-axis, and there x = 0. Put x = 0 into 5x + y = 5.
  2. The x-term disappears, leaving y = 5.
  3. So the y-intercept is 5.

How it works.

  1. 01

    The y-intercept is where the line crosses the y-axis, and there x = 0. Put x = 0 into 5x + y = 5.

  2. 02

    The x-term disappears, leaving y = 5.

  3. 03

    So the y-intercept is 5.