math determine lines/slopes

emmy2003

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determine the equation of tyhe line in y-intercept form that passes thrpugh a(4,5), b(3,7)
 
determine the equation of tyhe line in y-intercept form that passes thrpugh a(4,5), b(3,7)
Given two points (x1,y1) & (x2,y2)\displaystyle (x_1,y_1)~\&~(x_2,y_2) the slope of that line is m=y1y2x1x2\displaystyle m=\dfrac{y_1-y_2}{x_1-x_2}.

The y-intercept is (0,y1mx1)\displaystyle \left(0,y_1-mx_1\right)
 
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