Which line has a slope of -5/8 and goes through the point [2,3]?

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Answer 1 · 2018-04-08T01:29:06

#y=-5/8x+17/4#

.

#m=-5/8#

#(2,3)#

The general equation of a straight line is:

#y=mx+b#, where #m# is the slope and #b# is the #y#-intercept.

#y=-5/8x+b#

Now, we can use the coordinates of the point in this equation to solve for #b#:

#3=-5/8(2)+b#

#3=-5/4+b#

#b=3+5/4=(12+5)/4=17/4#

The equation of the line is:

#y=-5/8x+17/4#

Answer 2 · 2018-04-08T01:30:39

#y = -5/8 x + 17/4#

usual equation is #y= mx +b#
substitute the values
#3= 2(-5/8) + b#
#3=-5/4 +b#
#3+5/4=b#
#(12+5)/4 = b#
#17/4 = b#