Thursday, May 31, 2018

Intermediate Algebra, Chapter 3, 3.3, Section 3.3, Problem 38

Determine an equation of the line that satisfies the condition "through (1,6); slope 56".

(a) Write the equation in standard form.

Use the Point Slope Form of the equation of a line with (x1,y1)=(1,6) and m=56


yy1=m(xx1)Point Slope Formy6=56[x(1)]Substitute x=1,y=6 and m=56y6=56x56Distributive Property6y36=5x5Multiply each side by 65x+6y=5+36Add each side by (5x+36)5x+6y=31Standard Form



(b) Write the equation in slope-intercept form.


5x+6y=31Standard Form6y=5x+31Subtract each side by 5xy=56x+316Slope Intercept Form

No comments:

Post a Comment