lizxy place 5 tiles at first at day 1, at the end of day 4, she had placed 35 tiles. she worked on a steady rate. use a equation in point slope form to determind how many days she need for 100 tiles to finish
+6251 \(\mbox{point slope form is }\\ (y-y_0) = m(x-x_0) \\ \mbox{In this case }(x_0,y_0) = (1, 5) \\ \mbox{Now to find m we use }\\ m=\dfrac{y_1-y_0}{x_1-x_0} \mbox{ where }(x_1,y_1) \mbox{ is any other point known to be on the line.}\\ \mbox{In this case } (x_1,y_1) = (4,35) \mbox{ and we compute }m \mbox{ as}\\ m=\dfrac{35-5}{4-1} = \dfrac{30}{3} = 10 \\ \mbox{So our final equation is }\\ (y-5) = 10(x-1)\)
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