- Write down the equation of the line. If you already have the equation of the line, you can find the y-intercept with a little algebra.
- Substitute 0 for x. The y-axis is a vertical line along x = 0. ...
- Solve for y. The answer is the y-intercept of the line. The y-intercept of the line is 4.
- Confirm by graphing (optional). To check your answer, graph the equation as neatly as you can. The point where the line crosses the y-axis is the y-intercept.
- Find the y-intercept for a quadratic equation. A quadratic equation includes a variable (x or y) raised to the power of 2.
What is the formula for finding y intercept?
y-intercept = b = B/C. Alternatively, To find the x-intercept, substitute y = 0 and solve for x. i.e. Ax + B(0) = C. Ax = C. x = C/A. To find the y-intercept, substitute x =0 and solve for y. i.e. A(0) + By = C. By = C. y = C/B. Go through the example given below to understand this concept in a better way. Example: Let us assume the straight-line equation 5x +2y =10
How to calculate y intercept formula?
b is the y-intercept. We can use the following formula to calculate the y-intercept. y – a = m ( x – b ) a and b being a point on a line. Example: Suppose you have a straight line whose gradient is 3 and a point 2,1, calculate its y-intercept. Since the y-intercept is when x=0, therefore; y – 2 = 3 ( x – 1 ) y – 2 = 3x – 1. y = 3x – 1. Therefore, the number that has replaced b is -1, which means that -1 is the y-intercept.
How do you find the y intercept of a graph?
Y Intercept Formula
- we just substitute x = 0 in it.
- solve for y.
- represent the y-intercept as the point (0, y).
How to find y intercept on a graph or table?
y= - (a/b)x-c/b. keeping -a/b= m and -c/b= c ( new constant) we get the equation as y= mx+c. Note that if x is kept 0 y takes the value equal to c and as mentioned earlier, in order to find the y intercept, the value of x is taken to be 0. Hence, c directly gives the y intercept of the straight line.
How do you find the y-intercept step by step?
1:352:59Step-by-Step: Slope & Y-Intercept - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd to do that you need to know the y-intercept formula great form of an equation of a line so yMoreAnd to do that you need to know the y-intercept formula great form of an equation of a line so y equals MX plus B M is always your slope. And B is always your y-intercept. So if you have M.
How do you find the y-intercept in a quadratic equation?
Intercepts of a Quadratic Function The y-intercept is given by x = 0: y = a(02) + b(0) + c = c. Thus, the y-intercept is (0, c). The x-intercept is given by y = 0: 0 = ax2 + bx + c. Thus, the x-intercept(s) can be found by factoring or by using the quadratic formula.
How do you find the y-intercept when given the slope and a point?
0:061:11Given slope and a point find y intercept - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd one of the ones things we can do if you want we can use point-slope form y minus y1 equals MMoreAnd one of the ones things we can do if you want we can use point-slope form y minus y1 equals M times X minus x1 and I'll show you why this will work out real nice.
How do you find the y-intercept from two points?
Using the "slope-intercept" form of the line's equation (y = mx + b), you solve for b (which is the y-intercept you're looking for). Substitute the known slope for m, and substitute the known point's coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.
How do you find the intercept?
In y = mx + b, m is the slope, and the point coordinate will contain both x and y. Then, solve for b to find the y-intercept. Plug in the slope and the coordinates of one point in the line. Remember, the slope is equal to the rise over the run.
Interactive Widget
You can use this interactive widget to create a graph of a linear equation and see its y-intercept. Use the buttons to change the values of the linear equation.
Real Examples of Finding the Y-Intercept from a Linear Equation
Finding the y-intercept of a line from a linear equation is easy. Here are some linear equations, which represent lines. We show how to find the y-intercept from the linear equation.
Understanding Finding the Y-Intercept from a Linear Equation
To find the y-intercept, we need to find out where the line represented by this equation crosses the y-axis.
Lesson Slides
The slider below gives a real example of how to find the y-intercept from a linear equation.
More Examples of Finding the Y-Intercept of a Line from Linear Equations
All of the linear equations we have seen in this lesson have been in slope-intercept form ( y = mx + c ). This is the easiest form of linear equation to find the y-intercept. You must be able to find the y-intercept in all forms of linear equation. The method is the same. Substitute x = 0 into the linear equation and solve for y.
See Also
What is the slope of a line? What is the y-coordinate? What is the y-axis? What is a linear equation?
The Test
Here are 3 randomly selected questions from a larger test that can be printed to create a handout or sent to students electronically.
Question
Find the y-intercept of the line given by the linear equation shown below.
Answer
The y-intercept of the line given by the linear equation 3x + 2y + 4 = 0 is −2.
Understanding Finding the Y-Intercept from a Linear Equation in General Form
To find the y-intercept, we need to find out where the line represented by this equation crosses the y-axis.
Lesson Slides
The slider below gives a real example of how to find the y-intercept from a linear equation.
More Examples of Finding the Y-Intercept of a Line from Linear Equations
All of the linear equations we have seen in this lesson have been in general form ( ax + b + c = 0 ). There are other forms of linear equation. You must be able to find the y-intercept in all forms of linear equation. The method is the same. Substitute x = 0 into the linear equation and solve for y .
See Also
What is the y-intercept? What is the y-coordinate? What is the y-axis? What is a linear equation in general form?
The Test
Here are 3 randomly selected questions from a larger test that can be printed to create a handout or sent to students electronically.
