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  text: '<h1>**Slope:**<br/><h1/>\n\nSlope = Rate of Change<br/>\n\nSlope = $\\frac{y_2-y_1}{x_2-x_1}=\\frac{rise}{run}=tan\\theta$<br/>\n\n$y=mx+b\\rightarrow slope=m$<br/>\n\n$ax+by=c\\rightarrow slope=\\frac{-a}{b}$<br/>\n\nnegative slope $\\rightarrow$ decreasing<br/>\npositive slope $\\rightarrow$ increasing<br/>\nzero slope $\\rightarrow$ constant/horizontal<br/>\nundefined slope $\\rightarrow$ vertical<br/>\n\nTwo parallel lines have the same slope but different y intercepts, no solution]<br/>\n$y=mx+{b_1}, y=mx+{b_2}, {b_1}\\neq {b_2}$<br/>\n\nTwo perpendicular lines, the product of two slopes equal -1<br/>\n$y=mx+{b_1}, y=\\frac{-1}{m}x+{b_2}$<br/>\n\n<h2>**Relation between two lines:**<h2/><br/>\n\nLine 1: ${a_1}x+{b_1}y={c_1}$<br/>\nLine 2: ${a_2}x+{b_2}y={c_2}$<br/>\n\nOne Solution<br/>\n$\\frac{a_1}{a_2}\\neq \\frac{b_1}{b_2}$<br/>\n*Intersect*<br/>\n\nNo Solution<br/>\n$\\frac{a_1}{a_2}=\\frac{b_1}{b_2}\\neq \\frac{c_1}{c_2}$<br/>\n*Parallel*<br/>\n\nInfinite Number of Solutions<br/>\n$\\frac{a_1}{a_2}=\\frac{b_1}{b_2}=\\frac{c_1}{c_2}$<br/>\n*Same Line*\n\n<h3>**Equation of the Circle:**<h3/><br/>\n\nStandard Form: $\\big(x-h)^2+\\big(y-k)^2=r^2$<br/>\nCenter: $\\big(h,k)$<br/>\nRadius: $r=\\sqrt{r^2}$<br/>\n\nGeneral Form: ${x^2}+{y^2}+{ax}+{by}+c=0$<br/>\nCenter: $\\big(\\frac{-a}{2},\\frac{-b}{2})$<br/>\nRadius: $\\sqrt{\\big(\\frac{a}{2})^2+(\\frac{b}{2})^2-c}$<br/>\n\nIn addition:<br/>\nAny point: $\\big({x_1},{y_1})$<br/>\nInside: $\\big(x_1-h)^2+\\big(y_1-k)^2<r^2$<br/>\nOn the Circle: $\\big(x_1-h)^2+\\big(y_1-k)^2=r^2$<br/>\nOutside: $\\big(x_1-h)^2+\\big(y_1-k)^2>r^2$<br/>\n\n \n',
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