SOLUTION: Find the slope of the line passing through the points (4,0) and (4,5). Is it undefined, m=0, m=1 or m=5? Please help, thanks.

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line passing through the points (4,0) and (4,5). Is it undefined, m=0, m=1 or m=5? Please help, thanks.      Log On


   

Question 51603: Find the slope of the line passing through the points (4,0) and (4,5). Is it undefined, m=0, m=1 or m=5? Please help, thanks.
Found 2 solutions by rchill, checkley71:
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
The slope m of a line is defined as m=%28y2-y1%29%2F%28x2-x1%29, where (x1,y1) and (x2,y2) are two points on the line. Now we substitute the points (4,0) and (4,5) into the equation -- note it doesn't matter which ordered pair is 1 or 2, as long as you're consistent. The equation becomes m=%285-0%29%2F%284-4%29, which simplifies to m=5%2F0. Because division by zero is undefined, our slope is undefined. By definition, an undefined slope means a vertical line; a slope of 0 means a horizontal line.

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
the slope of this line is (5-0)/(4-4) or slope=5/0 or slope=0 any horizontal line has a slopeof 0