So the x -coordinate of a y -intercept is 0. Here is an example of a y -intercept. This graph meets the y-axis at the point 0,3. When two planes intersect we get a straight line. A straight line can be horizontal or vertical or slanting. The y intercept of a horizontal line is 0, a and the y intercept of a vertical line does not exist. Let us learn to find the y intercept of a straight line represented in different forms.
By the definition of the slope-intercept form itself, b is the y -intercept of the line. Thus, the y -intercept of the equation of a line in the slope-intercept form is 0, b or b. The y-intercept of a function is a point where its graph would meet the y-axis. The x-coordinate of any point on the y-axis is 0 and we use this fact to derive the formula to find the y-intercept. Thus, the formula to find the y-intercept is:.
We have derived the formulas to find the y -intercept of a line where the equation of the straight line is in different forms. In fact, we do not need to apply any of these formulas to find the y -intercept of a straight line. Then the corresponding y intercept is y or 0, y.
The y-intercept of a function can be easily found by graphing it using the graphing calculator and locating the point where the graph cuts the y-axis. A function has only one y-intercept because otherwise, it fails the vertical line test. The y - intercept of the second equation of the table is shown in the graph below. The procedure for finding the y -intercept of a quadratic function parabola is the same as that of a line as discussed in the previous section.
The y-intercept formula is used to find the y-intercept of a function. According to the definition of y-intercept, the y-intercept of a graph is the point where it cuts or intersects the y-axis. We know that on the y-axis the x-coordinate is 0. The y-intercept is mainly used in the process of graphing a function. Hence the given graph has no y -intercept. The equation of the regression line was found to be. Thus, the y-intercept is Since it makes no sense for a baby to weigh 0 pounds, we can say that the y-intercept of this regression line has no practical meaning.
A researcher asked several people "How many cups of coffee did you drink last week? The y-intercept of a line is where it crosses the y-axis. Since there are people who don't drink coffee, it does male sense to have an x-value of 0.
The y-axis represents the number of times the person went to a shop or restaurant last week to purchase a meal or a drink. It makes no sense to say that a person went -1 times to a shop or restaurant last week to purchase a meal or a drink. Therefore the y-intercept of this regression line has no practical meaning. The scatterplot and regression line below are from a study that collected data from a group of college students on the number of hours per week during the school year they work at a paid job and the number of units they are taking.
Interpret the y-intercept of the regression line or explain why it has no practical meaning.
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