SOLUTION: Write the equation of the line that has the following properties. Write the equations in the slope-intercept, y=mx+b. Question 1: The equation goes through the points (-8, -5)a

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Question 757681: Write the equation of the line that has the following properties. Write the equations in the slope-intercept, y=mx+b.
Question 1: The equation goes through the points (-8, -5)and (-6, -2)
Question 2: The equation goes through the points (4, -7) and (8, -10)
Thank you for your help!!

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.

Once you have substituted the values from your given points, do the arithmetic and solve for in terms of everything else.

However, please note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in .

John

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