SOLUTION: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). Find the slope slope {{{m=(y1-y2)/(x1-x2)}}} ==> {{{m=(5--3)/(2-7)}}} ==> {{{m=(5+3)/(2-7

Algebra ->  Linear-equations -> SOLUTION: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). Find the slope slope {{{m=(y1-y2)/(x1-x2)}}} ==> {{{m=(5--3)/(2-7)}}} ==> {{{m=(5+3)/(2-7      Log On


   

Question 197101This question is from textbook
: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3).
Find the slope
slope m=%28y1-y2%29%2F%28x1-x2%29
==> m=%285--3%29%2F%282-7%29
==> m=%285%2B3%29%2F%282-7%29
==> m=8%2F-5
Point-Slope form
y-y1=m%28x-x1%29------(1)
(x1,y1)=(2,5)
substituting (x1,y1) in (1)
y-5=%28-8%2F5%29%28x-2%29
y-5=%28%28-8x%29%2F5%29%2B%2816%2F5%29
y=%28%28-8x%29%2F5%29%2B%2816%2F5%29%2B5
y=%28%28-8x%29%2F5%29%2B%2841%2F5%29
here slope is -8%2F5 and y intercept is 41%2F5
 This question is from textbook

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