Help With Coordinate Geometry - The Line I have a test tomorrow (Friday) on The Line and I am just wondering if anyone could help me with the equation of a line. If anyone could give me a few examples with answers for me to study and then a few examples that I could try out myself. This would be a great help as I am finding these difficult. Thanks A Million.

Expert Answers

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The problems use the different forms of equation of the line such that:

- the slope intercept form: `y = mx + b` (m represents the slope of the line, b represents y intercept)

- the point slope form: `y - y_0 = m(x - x_0` ) (m represents the slope of the line, `(x_0,y_0)` coordinates of a point on the line)

- two points form: `y - y_1 = (y_2-y_1)/(x_2-x_1)(x - x_1) ((x_1,y_1),(x_2,y_2)` represent the coordinates of two points on the line`)`

Hence, if the problem provides the coordinates of two points, located on the line, `(1,2),(3,-5)` you may evaluate its equation such that:

`y - 2 = (5-2)/(3-1))(x -1) => y - 2 = (3/2)(x - 1)`

If theproblem provides the slope of the line, `m=-2` , and the coordinates of a point located on the line, `(1,2)` , you may find the equation of the line, such that:

`y - 2 = -2(x - 1) => y = -2x + 2 + 2 => y = -2x + 4`

Hence, depending on the information provided by the problem, you may evalaute the different forms of equation of the line.

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