Question 179107
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The equation of a line passing through two points is given by the two-point form:


*[tex \Large y - y_1 = \frac {y_2 - y_1}{x_2 - x_1}(x - x_1)]


Select two points from the first set of points:


*[tex \Large P_1 = (1, 3)] and *[tex \Large P_2 = (2, 5)]


Substitute the given coordinates:


*[tex \Large y - 3 = \frac {5 - 3}{2 - 1}(x - 1)]


Perform the indicated arithmetic:


*[tex \Large y - 3 = 2(x - 1)]


Solve for <i>y</i> to get the slope-intercept form:


*[tex \Large y = 2x + 1]


Now, since you were given all of those other points, and you weren't told that line M is a straight line, you need to insert the coordinates of all the other points, one point at a time, into this equation to verify that they are all actually on this line.  Simply put, verify that each <i>y</i>-coordinate is two times the <i>x</i>-coordinate plus 1.


Next, repeat the process for the other set of points to create your other equation.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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