y=mx+b
What is your question?
my question is y=mx+b solve for x. i know how to do it with numbers but i am totally stumped with just the letters!
how*
numbers*
y = mx + b.
Subtract b from both sides:
y - b = mx,
Divide both sides by m and get:
y/m - b/m = x,
OR
x = Y/m - b/m.
The equation y = mx + b represents a linear equation, where y represents the dependent variable, x represents the independent variable, m represents the slope of the line, and b represents the y-intercept.
To understand how the equation works, consider the following steps:
1. The term mx represents the slope-intercept form of a linear equation. The slope, represented by m, determines how steep the line is. A positive slope means the line goes up from left to right, while a negative slope means the line goes down from left to right. The x variable refers to the independent variable, which is often the horizontal axis on a graph.
2. The term b represents the y-intercept, which is the point where the line intersects the y-axis. The y-intercept does not depend on the value of x and gives us the initial value of y when x is equal to zero. It is represented on the graph as the position on the y-axis when x = 0.
3. To graph the equation on a Cartesian coordinate system, plot the y-intercept as a point on the y-axis (the point (0, b)). From there, use the slope to determine additional points on the line. Starting from the y-intercept, move m units up or down (depending on whether the slope is positive or negative) and 1 unit to the right. This gives another point on the line. Repeat this process to find more points if required. Once you have enough points, connect them to form a straight line that represents the equation.
4. The equation can also be used to find the value of y for a given value of x, or vice versa. Simply substitute the value of x into the equation and solve for y, or substitute the value of y into the equation and solve for x.
Overall, the equation y = mx + b provides a mathematical representation of a straight line and allows us to describe and analyze linear relationships between variables.