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what equation represents the line passing through points (4,5) and (2,3)

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2 Answers

(4,5) and (2,3)    Find Slope using given points M =  (y2-y1)/(x2-x1)

M= (3-5) / (2-4)  

M= -2/-2 

M=1

y = mx + b    use Slope intercept form and any above point either one (i am using (2,3))

3 = 1(2)+b     solve for b

b = 1

y= x+1     ANSWER

 

 

Hey Brett -- you could try a visual approach ... passing from 2,3 to 4,5 means rising 2y for every 2x ... slope is 1 ... now back down from 2,3 -- 1,2 -- 0,1 ... y-intercept is 1 ... Graphically, the line looks like y=x but is offset up by 1 ==> y= x+1 ... Regards :)