How do you write the equation in point slope form given m=-3 and point (12,5)?

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Answer 1 · 2017-01-09T14:44:08

Start with the point-slope form #y = mx + b#. m becomes -3. use y = 5 and x = 12 to solve for b. Report the equation with m = -3 and the value of b.

Start with the point-slope form:

#y = mx + b" [1]"#

We are given that #m = -3#:

#y = -3x + b" [2]"#

We are given the point #(12,5)#, therefore, we may substitute y for 5 and 12 for x, into equation [2], then solve for the value of b:

#5 = -3(12) + b#

#b = 41#

The desired equation is:

#y = -3x + 41#