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What does Y represent in Y MX B?

In y= mx+b, which is an equation that describes everything needed to graph a strait line on cartesian coordinates. y is the vertical axis, which represents the the vertical coordinates. x is the horizontal axis, which represents the horizontal coordinates. m is the slope or rate of change of y with respect to x.

What does the Y represent in slope-intercept form?

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”.

What does Y mean in slope?

: the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

What is Y intercept in algebra?

more The point where a line or curve crosses the y-axis of a graph. In other words: find the y value when x equals 0.

How do you explain y-intercept?

The y-intercept of a line is the value of y where the line crosses the y-axis. In other words, it is the value of y when the value of x is equal to 0.

How do you define Y-intercept?

: the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Is the Y intercept the initial value?

An equation in the slope-intercept form of a line includes the slope and the initial value of the function. The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point at which the line crosses the y-axis.

How do you determine initial value?

The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

What is initial value algebra?

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

What is initial value exponential function?

For an exponential function the y-intercept is the “initial value” not the common ratio. Consider a standard exponential function of the form y(x) = a•rˣ , if you put in x = 0 you get: y(0) = a•rˣ = a•r⁰ = a•1 = a , so the y-intercept is a , which is called the initial value, not r , which is called the common ratio.

What is the initial condition of time?

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).

How do you find the initial value of two points?

The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value. We have found the slope as m=2 . We will plug our first point into the equation to give us b , the initial value.

What is the function of sequence?

Definition: A sequence is a function whose domain is the set of natural numbers or a subset of the natural numbers. Intuitively, a sequence is just an ordered list of (possibly infinitely many) numbers. Each number in a sequence is a term of the sequence.

What is difference between function and sequence?

A sequence is a type of function. Remember, a function is any formula that can be expressed as “f(x) = x” format, but a sequence only contains integers at or greater than zero. Functions are almost everywhere in math: in algebra, calculus, and geometry because they express the relationship between any two numbers.