Question 214710
Find an equation of the line having the given slope and containing the given point m=-6,(1,7) y= ?


Step 1.  Your problem will express your equation in terms of the y-intercept form given as y=mx+b where m is the slope and b is the y-intercept at point (0,b) when x=0 and y=b.


Step 2.  For m=-6, then y=-6x+b.  Substitute (1,7) or x=1 and y=7 to find b.


{{{y=-6x+b}}}


{{{7=-6*1+b}}}


{{{7=-6+b}}}


Add 6 to both sides to solve for b


{{{7+6=-6+b+6}}}


{{{13=b}}}


{{{b=13}}}


Step 3.  ANSWER:  The equation of the line is y=-6x+13


{{{graph(400,400,-10,10, -20,20, -6x+13)}}}


Note from the graph the slope m=-6 and the y-intercept at 13 as well as going through point (1,7)


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J