What is the equation of the line with slope # m= -5/17 # that passes through # (3,1) #?

1 Answer
Jim G.
May 14, 2018

#y=-5/17x+32/17#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"here "m=-5/17#

#rArry=-5/17+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(3,1)" into the partial equation"#

#1=-15/17+brArrb=17/17+15/17=32/17#

#rArry=-5/17x+32/17larrcolor(red)" is equation of line"#

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