How do you write the equation in point slope form given Point: #(5, 9)#; Slope: #2#?

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Answer 1 · 2016-03-22T03:27:07

For this line in the form #y=mx+c# we find that the value of #c# is #-1# and we are told that the value of #m=2#, so:

#y=2x-1#

Point slope form for the equation of a line is #y=mx+c#, where #m# is the slope (gradient) and #c# (some people use #b# instead) is the y-intercept.

In this case we can substitute in the values we have to find the value of #c#: #9=2(5)+c to 9=10+c to c=-1#.

Given that, the equation of the line in point slope form is:

#y=2x-1#