Find the equation of the line through(-3,-5)and(4,-5)

Question

Writing the equation of a line Algebra 2

 

Answer 1

Hello, Matthew

The first thing we need to do is find the slope. Point 1(-3,-5), point 2 (4,-5).  The formula for the slope is

 

(y2-y1)/(x2-x1)= [-5-(-5)]/[4-(-3)]= 0/7= 0.  This is a horizontal line since horizontal lines have a slope of zero.  In addition, this line must pass through (-3,-5) and (4,-5).  So, if you plot this points in the coordinate plane, and draw a line through these points, you will have a horizontal line with a y intercept of (0,-5).  So, the equation of this line must be y=-5... there is no slope since it is a horizontal line.

 

Well, Matthew, I hope this help out.  Please rate my answer :).

 

D. Y. Taylor