What is how to find the y intercept?

The y-intercept is the point where a line or curve crosses the y-axis on a graph. It is the value of y when x is equal to 0. Here's how to find it, depending on the situation:

• From an Equation:

  • Substitute x = 0 into the equation.

  • Solve for y. The resulting value of y is the y-intercept.

  • Example: If the equation is y = 2x + 3, substitute x = 0: y = 2(0) + 3, so y = 3. The y-intercept is (0, 3).

• From a Graph:

  • Locate the point where the line or curve intersects the y-axis.
  • Read the y-value of that point. This y-value is the y-intercept.

• From Two Points (and finding the equation first):

  1. Find the slope (m) of the line using the formula: m = (y₂ - y₁) / (x₂ - x₁)

  2. Use the slope-intercept%20form of a linear equation, which is y = mx + b, where b is the y-intercept.

  3. Plug in the slope (m) and the coordinates of one of the given points (x, y) into the equation y = mx + b.

  4. Solve for b, which is the y-intercept.

• From a Table of Values:

  • Look for the row where x = 0. The corresponding y-value in that row is the y-intercept.

If you know the equation%20of%20a%20line, finding the y-intercept is usually very straightforward.