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The Global Insight

What is the Y intercept of the equation

Author

William Harris

Updated on March 24, 2026

When the equation of a line is written in slope-intercept form (y=mx+b), the y-intercept is the constant, which is represented by the variable b. For example, in the linear equation y=4x−5, the y-intercept is −5.

How do you find the y-intercept in an equation?

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.

What is the y-intercept example?

When the equation of a line is written in slope-intercept form ( y=mx+b ), the y -intercept b can be read immediately from the equation. Example 1: The graph of y=34x−2 has its y -intercept at −2 . Similarly, for a quadratic equation written in standard form y=ax2+bx+c , the y -intercept is c .

What is the y-intercept in y =- 4?

Using the slope-intercept form, the y-intercept is 4 .

What is the y-intercept of =- 20?

Algebra Examples Using the slope-intercept form, the y-intercept is −20 .

What is the y-intercept of y =- 2x 6?

The equation y = 2x + 6 is in slope-intercept form, so we know that the slope is equal to the coefficient of x, which is 2, and the y-intercept is equal to the constant term, which is 6. Thus, we have that the slope of y = 2x + 6 is 2, and the y-intercept is 6.

What is y-intercept of 3?

A y-intercept of 3 means that a line’s graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).

What is y-intercept in maths?

y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0. The point for a y-intercept will look like (0,y) x-intercepts are when the line touches the x-axis. To find these, find the x when y = 0.

What is Y =- 1 in slope-intercept form?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is −1 .

What is the y-intercept of the function f x 2 9x 1 3?

Summary: The y-intercept of the function f(x) = -2/9x + 1/3 is 1/3.

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What's the y-intercept of 4 3?

Using the slope-intercept form, the y-intercept is −43 .

What is the y-intercept of 2x 5y 20?

Your y-intercept is at (0,4).

What is the y-intercept of the equation y 4x 3?

Algebra Examples Using the slope-intercept form, the y-intercept is −3 .

What is the slope and y-intercept of 2x 5y =- 20?

The given equation is an equation of a line. The slope-intercept form is y=2×5−4 y = 2 x 5 − 4 . So, we have a slope of 25 and a y-intercept at y=−4 .

How do you find the y-intercept in standard form?

  1. To find the x-intercept, we set y=0 and solve for x.
  2. To find the y-intercept, we set x=0 and solve for y.

How do you find the y-intercept without graphing?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.

How do I write an equation in slope-intercept form?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

How do you find the Y intercept in a quadratic intercept form?

  1. We find the y y -intercept by evaluating f(0) f ( 0 ) .
  2. So the y y -intercept is at (0,−2) ( 0 , − 2 ) .
  3. For the x x -intercepts, or roots, we find all solutions of f(x)=0 f ( x ) = 0 .
  4. By graphing the function, we can confirm that the graph crosses the y y -axis at (0,−2) ( 0 , − 2 ) .

What is the Y intercept of a quadratic?

In a quadratic function, the y-intercept is the point at which the parabola crosses the y-axis. … The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants.

What does the Y intercept mean in a quadratic equation?

The y -intercept is the point at which the parabola crosses the y -axis. The x -intercepts are the points at which the parabola crosses the x -axis.

What is the y-intercept of the line 2x 3y =- 9?

Answer: The slope and the y-intercept of the line which has the equation 2x + 3y = 9 are – 2 / 3 and 3, respectively.

What is the slope of y =- 4?

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0.

What is the y-intercept of the equation below y 10x 14?

1 Expert Answer For your problem, y=-10x+14, the y-intercept is 14. You could refer to the y-intercept as an ordered pair (0,14). The x-coordinate is 0 because that is the value of x for any point on the y-axis.

What is the y-intercept in y =- 2x 5?

In the equation y = 2x – 5, the y- intercept, b, is –5. This means the line crosses the y-axis at –5.

What is the y-intercept of y =- 2x?

Originally Answered: What is the slope and y-intercept in the equation y= 2x? The slope is 2 and the y-intercept is 0.

What is the y-intercept of y =- 3x?

Using the slope-intercept form, the y-intercept is 0 .

What is the y-intercept of the line 2x 3y?

The y-intercept is y=2 .

How do you find the y-intercept when given two points?

  1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
  2. Substitute the slope(m) in the slope-intercept form of the equation.
  3. Substitute either point into the equation. You can use either (3,5) or(6,11).
  4. Solve for b, which is the y-intercept of the line.
  5. Substitute b, into the equation.

What is y mx b answer?

y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line.

What is the Y-intercept of the function FX?

In mathematics, the y -intercept of a function, f(x) , is the y -value of the point where the graph of f(x) crosses the y -axis. This occurs where x=0 , so we can find the y -intercept of a function, f(x) , by plugging x=0 into the function, which is equivalent to calculating f(0) .

What is the slope of the line represented by the equation y equals 2 3 5x?

Using the slope-intercept form, the slope is −5 .