Understanding the Linear Equation in Slope-Intercept Form: Features, Interpretations, and Example Applications.

y=mx + b

The equation y = mx + b represents a linear equation in slope-intercept form

The equation y = mx + b represents a linear equation in slope-intercept form.

In this equation, y represents the dependent variable, which is typically the output or the value you are trying to find. x represents the independent variable, which is typically the input or the value you are given.

m represents the slope of the line. The slope indicates the rate at which the dependent variable changes with respect to the independent variable. A positive slope means that as x increases, y also increases, resulting in an upward sloping line. A negative slope means that as x increases, y decreases, resulting in a downward sloping line. A slope of zero means that there is no change in the dependent variable as the independent variable changes, resulting in a horizontal line.

b represents the y-intercept, which is the value of y when x is equal to zero. It indicates the point where the line crosses the y-axis.

To use this equation, you need to know the values of m and b, as well as the value of x. Plug in the given values into the equation and solve for y. This will give you the value of the dependent variable corresponding to the given independent variable.

For example, if you are given the equation y = 2x + 3 and you are asked to find the value of y when x is equal to 4, you can plug in these values into the equation as follows:

y = 2(4) + 3
y = 8 + 3
y = 11

So, when x is equal to 4, y is equal to 11.

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