Compute the Value of Y2
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Compute the Value of Y2

using point 1, P1 (6,4) and slope m =4/3, substitutes these values in Equation 1

Linear regression boundary; residual

data compression sample 1

data compression sample 2

drawing triangle and polygon

Upper and lower limit of sine wave

Formula memory recall: y = mx + b in slope form --equation 1

important to remember variable letter b is your y - intercept value.

Using Point 1 (x=6, y=4) y1 = 4 substitute y = 4 in equation 1 ; then x1 = 6
Finally m = 1.3333
Why ? In order to get the original value of b, the y-intercept that will connect at point 1 coordinate (6,4) to create the given slope m=4/3 or 1.3333
After you input the value of y1, x1, and slope, m. It should look like shown below.



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y1 = m * x1 + b

Using the above equation you can solve for the value of b, the y-intercept.

For scenario analysis, just change any value in orange input box. Then input new value of x2 to compute the answer.

For example new P1(4,2.33) and slope m = 1.333. Solve for the value of y2 given P2(0, y2). Here x2 = 0
this line is parallel to given line but at higher value or designated maximum value.

Maximum line y = 1.3333x - 3

Given line y = 1.3333x - 4

Minimum line y = 1.3333x - 5



For example new P1(4,0.3336) and slope m = 1.333. Solve for the value of y2 given P2(0, y2). Here x2 = 0
this line is parallel to given line but at lower value or designated minimum value.

Special case: For example new P1(7,5) and new slope m = 4. Solve for the value of y2 given P2(1, y2). Here x2 = 1


b = is the answer for variable "b" after doing algebraic calculation from above equation 1.

Using the value of b, we can discover the general pattern of this line equation which is
y = 1.3333x - 4. This line equation is the description of the general behavior of any points along the line. What it means is with this line equation we can predict or solve any position of a point in "y" axis if we are given any position of "x" axis.

So let's use this discovered pattern of line equation to predict the value of new "y" when the given value of x = 0 .

Mathematical expression such as P2(0, y) seems to be of no meaning if you are not taught by a mathematician who knows how to interpret its meaning. It means the author of this math expression is telling you to predict or solve the value of y in y-axis using the value of x = 0.

You can't solve P2(0,y) if you don't discover the line equation from the given problem. But the author of this problem wants you to do more after you solve the value "y" when x = 0. The author wants you to find the distance between the two points.

To find the distance between two points, you need to memory recall your acquired knowledge about Pythagorean equation formula and relate it to slope formula and right triangle formula. Finally c2 = a2 + b2 or c = √ 62 + 82

a = (6-0) = 6 ; X1 b = (4-(-4)) ~ 8 . Answer = √100 = 10 Learning mathematics is a very good brain exercise to connect your previous acquired memories in your brain neuron.


The discovered line equation will be shown below

y = x + written in slope form.


using point, P2 ( , y2) substitutes its values in equation of a line.

For scenario analysis, just change any value in white button input box. Solve for the value of y2 given P2(1, y2). Here x2 = 1


y2 = * + written in slope form.

Remember when the slope of two or three lines are the same they are parallel to each other (remember the letter symbol " m " for slope ). This could happen for example Line maximum (y=1.3333x -3) , Line average (y=1.3333x -4) , and Line minimum (y=1.3333x -5) see line graph above. This knowledge is important in machine learning and statistical analysis where you set the upper limit or maximum confidence level and the lower limit or minimum confidence level.


y2 = Answer , Look at the line graph above check your answer.




A solved problem becomes trusted automation—saving time and accelerating decision-making.

Given
P1 ( x1 , y1 )

Given
P2 ( x2 , y2 )

Distance, d = Answer




Find line equation given x and y intercept

Find distance between two points

Find line equation given two points

Find best fit line equation using linear regression

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