What is the slope intercept form of the line passing through #(3,-12) # with a slope of #5/4 #?

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Answer 1 · 2017-08-28T11:10:24

The equation of line in slope intercept form is # y= 5/4x -63/4 #

Let the equation of line in slope intercept form is # y=mx+b#

where #m# is slope and #b# is #y# intercept.

Then the equation of line with a slope of #m=5/4 # is

# y= 5/4x +b # . Since the point # (3 , -12)# is on the line , it

will satisfy the equation. # - 12 = 5/4*3 +b or b= -12-15/4#

or #b = -63/4 #

Hence the equation of line in slope intercept form is

# y= 5/4x -63/4 # [Ans]