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how do you find y intercept from an equation

by Wanda Cremin Published 3 years ago Updated 3 years ago

  1. 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.
  2. Substitute 0 for x. The y-axis is a vertical line along x = 0. ...
  3. Solve for y. The answer is the y-intercept of the line. The y-intercept of the line is 4.
  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.
  5. Find the y-intercept for a quadratic equation. A quadratic equation includes a variable (x or y) raised to the power of 2.

When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x.

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.

What is the y intercept?

The y-intercept is where a line crosses the y-axis.

What does a positive y intercept mean?

A positive y-intercept means the line crosses the y-axis above the x-axis: A zero y-intercept means the line crosses the y-axis at the origin: A negative y-intercept means the line crosses the y-axis below the x-axis: Help Us To Improve Mathematics Monster.

What is the slope intercept form of a linear function?

Slope-Intercept Form of a Linear Function: This is a general form of a linear function given by the equation {eq}y=mx+b {/eq}. In this equation, m stands for the slope of the function, and the b stands for the y-intercept of the function.

When to write parentheses around a variable?

It is helpful to write parentheses around the variable we are replacing if there is another variable multiplied by that value.

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