Sunday, December 15, 2019

Beginning Algebra With Applications, Chapter 5, 5.4, Section 5.4, Problem 34

a. Use the point-slope formula to find the equation of the line that goes through the point (5,3) and has slope .


(x1,y1)=(5,3)Let (x1,y1) be the given pointm=0m is the given slopeyy1=m(xx1)Point slope formulay3=0(x5)Substitute 5 for x3 for y and 0 for my3=0Rewrite the equation in the form y=mx+by=3Add 3



b. Does your answer to part a simplify to the equation of a horizontal line through (0,b)?

Yes because if m is equal to zero in the point slope form... then the expression written in the right side of the equation will be zero as well. What is left is the y coordinate of the point that makes the equation a horizontal line.

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