What is the equation of the line with slope # m= 5/17 # that passes through # (39,23) #?

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Answer 1 · 2018-03-29T09:37:54

#color(blue)(y=5/17+196/17)#

The slope intercept form of a line is given by:

#y=mx+b#

Where #m# is slope/gradient and #b# is the y axis intercept.

We know #m# this is #5/17# and we have a point on the line #(39,23)#
#:.#

#23=5/17(39)+b#

Multiply through by 17:

#391=5(39)+17b#

#391=195+17b#

Subtract 195:

#196=17b#

Divide by 17:

#b=196/17#

So equation is:

#color(blue)(y=5/17+196/17)#