**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

#1**+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 !!

CPhill
Sep 14, 2017