document.write( "Question 101525: Find the slope of the line through the points.
\n" );
document.write( "30) (-5, -4) and (3, -4) \n" );
document.write( "
Algebra.Com's Answer #73905 by bucky(2189) ![]() You can put this solution on YOUR website! The slope of a line through two given points is defined by the equation: \n" ); document.write( ". \n" ); document.write( "slope = (change in y)/(change in x) \n" ); document.write( ". \n" ); document.write( "You were given that point 1 is (-5, -4) and point 2 is (3, -4) \n" ); document.write( ". \n" ); document.write( "In going from point 1 to point 2 the value of x goes from -5 to +3. On the number line that \n" ); document.write( "requires a change of +8 units. If we plug this into the slope equation, we get: \n" ); document.write( ". \n" ); document.write( "slope = (change in y)/8 \n" ); document.write( ". \n" ); document.write( "What is the corresponding change in y from point 1 to point 2? Notice that in point 1 the \n" ); document.write( "value of y is -4 and when you go to point 2 the value of y is also -4. Since these are the \n" ); document.write( "same there is zero change. When you substitute this change in y into the slope equation it \n" ); document.write( "becomes: \n" ); document.write( ". \n" ); document.write( "slope = 0/8 \n" ); document.write( ". \n" ); document.write( "and zero divided by 8 is zero. So the slope is zero. What does this mean? It means that \n" ); document.write( "the line is a horizontal line because it has no slope up or down. \n" ); document.write( ". \n" ); document.write( "You can convince yourself of this by plotting the two given points on a graph and then \n" ); document.write( "drawing a line connecting the two points. You should see that it is a horizontal line ... \n" ); document.write( "which means \"no slope\" or \"zero slope.\" \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. As you get more familiar with this concept \n" ); document.write( "you will just be able to look at a similar set of points and recognize that if there \n" ); document.write( "is a change in x values of two points, but no change in the y values of the two points, the \n" ); document.write( "slope is zero. \n" ); document.write( ". \n" ); document.write( " |