y Intercept Definition

y Intercept Definition The place on the graph where a line intersects the y axis is known as the y intercept of the line. Because x coordinate of all the points on the y axis is zero, therefore the value of x coordinate for y intercept is also zero. We put the value of x equal to 0 in the equation of a line to find its y intercept. Example 1: Find the y intercept for the line 2y = 6x + 3. Solution: The first step for finding the y intercept of the given line is to put the value of x equal to zero in the equation of the line and solve the equation for y. 2y = 6 (0) + 3 2y = 0 + 3 2y = 3 2y / 2 = 3 / 2 y = 3 / 2 Hence the y intercept of the line given above is (0, 3 / 2). Example 2: What is the y intercept for the equation given below: 2 x2 + 7 x 3 y2 + 6 y = 0 Solution: To find the y intercepts for the given equation, we will put the value of x equal to zero and solve the equation to find the corresponding value of y. 2 (0)2 + 7 (0) 3y2 + 6y = 0 0 + 0 3y2 + 6y = 0 - 3y (y - 2) = 0 - 3y = 0 or y 2 = 0 y = 0 y = 2 So the y intercepts of the given equation are (0, 0) and (0, 2).