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 \(\displaystyle (x_1,y_1)~\&~(x_2,y_2)\) the slope of that line is \(\displaystyle m=\dfrac{y_1-y_2}{x_1-x_2}\).

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