What is how to find y intercept?

Finding the y-intercept is a fundamental skill in algebra, particularly when dealing with linear equations and graphing. Here's a breakdown of how to find it:

• Definition: The y-intercept is the point where a line or curve crosses the y-axis on a graph. At this point, the x-coordinate is always zero.

• From an Equation:

  • Slope-Intercept Form: If your equation is in slope-intercept form (y = mx + b), the y-intercept is simply the value of 'b'. This is because when x = 0, y = m(0) + b, so y = b.
  • Standard Form (or any other form): To find the y-intercept from any equation, substitute x = 0 into the equation and solve for y. The resulting y-value is the y-coordinate of the y-intercept. The y-intercept is expressed as the point (0, y).

• From a Graph: Simply look at the graph and identify the point where the line or curve intersects the y-axis. Read the y-coordinate of that point. That's your y-intercept.

• From Two Points: If you're given two points on a line, you can find the equation of the line (using the slope formula and point-slope form) and then use the equation to find the y-intercept as described above. Alternatively, you can use the points to determine slope (m), then use the slope along with one of the points in the point-slope form, y - y1 = m(x - x1). After obtaining the equation, set x=0 and solve for y to determine the y-intercept.