



 
Hi Danielle, I am going to illustrate with two different points, $(5, 0) \mbox{ and } (7, 3).$ There are a number of different ways of writing the equation of a line, and I usually use $ y  y_1 = m(x  x_1)$ where $(x_1, y_1)$ is a point on the line and $m$ is the slope of the line. If you have two points on the line $(x_1, y_1) \mbox{ and } (x_2, y_2)$ then you can determine the slope using \[m = \frac{y_2  y_1}{x_2  x_1}\] For my points I am going to let $(x_1, y_1) = (5, 0)$ and $(y_1, y_2) = (7, 3).$ Thus the slope is \[m = \frac{3  0}{7  (5)} = \frac{3}{12} = \frac14\] The equation of the line is thus \[y  y_1 = m(x  x_1) \mbox{ or } y  0 = \frac14 (x  (5))\] If you now multiply both sides by 4 you get $4y = x + 5$ which is almost what you need. If you subtract $4y$ from each side and subtract $5$ from each side the equation becomes $x  4y = 5.$ Now try your points,  


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