Guidelines

What is the intercept on the y axis?

What is the intercept on the y axis?

The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

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

Steps

  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.
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How do you find horizontal compression?

If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function. Given a function y=f(x) y = f ( x ) , the form y=f(bx) y = f ( b x ) results in a horizontal stretch or compression.

What is horizontal compression?

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis. • if k > 1, the graph of y = f (k•x) is the graph of f (x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.

How do you solve slope-intercept?

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

What is the y-intercept in slope?

In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.

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What is the y-intercept of a parabola?

The general form of the equation of a parabola or quadratic function is: Put x = 0;y = 4 we can say that y-intercept: (0,4). Can a function have multiple y-Intercepts?

How to find the X and y intercepts of the line?

Its y-intercept can be written as the point (0,3). Example 2: Find the x and y-intercepts of the line y = –2x + 4. To find the x-intercepts algebraically, we let. y = 0. y=0 y = 0 in the equation and then solve for values of. x. x x. In the same manner, to find for y-intercepts algebraically, we let. x = 0.

What is the b value of the y intercept?

The b value or the y-intercept indicates the point where the line is going to cross the y-axis. If b value is positive, the intersection point on the y-axis is above the x-axis, and if b value is negative, the Intersection point on y-axis is below the x-axis.

What is the solution to the equation with no y intercepts?

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The answer is imaginary, thus, no solution. That means the equation doesn’t have any y-intercepts. The graph verifies that we are right for the values of our x-intercepts, and it has no y-intercepts.