Okay. so say their is a list of numbers:
x y
0 3
1 5
2 7
3 9
4 11
I know how to answer a question like "use an equation to figure out Y when X is..." but how do you figure do " figure out X when Y is" ?
I konw that the formula is y=mx+b
but i don't know how to do it
thanks
m equals the change in y for each change in x. As I see the data, y changes 2 for each unit x changes. M=2
b is what y is when x is zero. Get that from the table.
oohh okay.
thanks
To determine the value of X when Y is given, you need to rearrange the equation y = mx + b to solve for X.
The equation y = mx + b represents a linear relationship between X and Y, where m is the slope and b is the y-intercept. In this case, you have a set of points (X, Y) that follows this linear relationship.
To solve for X when Y is given, you need to do the following steps:
1. Substitute the given value of Y into the equation. Let's say the given value of Y is Y1.
y = mx + b
Y1 = mX + b
2. Rearrange the equation to solve for X. Move the variable terms to one side and the constant terms to the other side.
Y1 - b = mX
3. Solve for X by isolating the variable X. Divide both sides of the equation by the slope (m).
X = (Y1 - b) / m
Now that you have the formula to find X when Y is given, you can apply it to the specific example you provided:
Let's say you want to find X when Y is 9.
Given values:
Y = 9
m (slope) = (5 - 3) / (1 - 0) = 2 / 1 = 2
b (y-intercept) = 3
Substituting the values into the equation and solving for X:
X = (9 - 3) / 2
X = 6 / 2
X = 3
Therefore, when Y is 9, X is 3.
It's important to note that this method assumes a linear relationship between X and Y based on the given data points. If the relationship is not linear or if you have more complicated data, different methods may be required to determine the value of X when Y is given.