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find m and b using the equation for line AB

A(1,5) B(6,2)

Please help me with this question

ManuelBautista2019  Sep 14, 2017
edited by ManuelBautista2019  Sep 14, 2017
edited by ManuelBautista2019  Sep 14, 2017
 #1
avatar+91213 
+2

"m" will be the slope.......

 

We can find it thusly.....

 

[ subtract the y coordinates in some order ]  /  [ subtract the x coordinates in the same order ]   

 

So we have

 

[ 5 - 2  ]  / [ 1 - 6]  =  [ 3] / [ -5]  =     -3/5       and this is the slope of AB

 

"b"  will be the y intercept........we need to get to this form  →  y  = mx + b

 

Using either one of the points and the slope, we can write

 

y  = -(3/5) ( x - 1) + 5    simplify

 

y = (-3/5)x +  3/5  + 5         →     "5"  can  be writen as  25/5 .....

 

So.....we have

 

y = (-3/5)x  +  3/5 + 25/5

 

y = (-3/5)x   +  28/5

 

So......  (-3/5)  = m    and   28/5  = b

 

Hope that helps  !!

 

 

cool cool cool

CPhill  Sep 14, 2017

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