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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