SOLUTION: Write an equation for the line through the given points or having the given slope and through the given point (_3,_5) and (1, 11) how to do that?

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Question 999490: Write an equation for the line through the given points or having the given slope and through the given point (_3,_5) and (1, 11) how to do that?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


When you are given two points, use the Two-Point form of an equation for a line.



where and are the coordinates of the given points.

When you are given a slope and a point, use the Point-Slope form:



where are the coordinates of the given point and is the given or calculated slope.

If you are given an equation representing a line and asked to find an equation of a line parallel to that line through a given point, use:



and then use the Point-Slope form.

If you are given an equation representing a line and asked to find an equation of a line perpendicular to that line through a given point, use:



and then use the Point-Slope form.

If you are asked to put your answer in standard form, rearrange the equation to look like:



Some teachers/professors/instructors/textbook authors require that A, B, and C be integers, and some also require A to be a non-negative integer.

If you are asked to put your answer in Slope-Intercept form, rearrange the equation to look like:



where is the slope of the line and is the -coordinate of the -intercept.

John

My calculator said it, I believe it, that settles it

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