## equation of lines

### y=mx+b

The equation of a line is typically represented as:

y = mx + b

where:

– y is the dependent variable (usually the vertical axis on a graph)

– x is the independent variable (usually the horizontal axis on a graph)

– m is the slope of the line, which determines how steep the line is

– b is the y-intercept, which is where the line crosses the y-axis when x=0

There are other forms of the equation of a line, such as:

– point-slope form: y – y1 = m(x – x1), where (x1, y1) is a point on the line

– slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept

– standard form: Ax + By = C, where A, B, and C are constants

It is important to understand the different forms of the equation of a line and how to convert between them, as well as how to use the equation to graph a line or find the equation of a line given certain information, such as two points or a point and the slope.

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