document.write( "Question 885991: Determine the vertical change of a line with an x-intercept at (-4, 0) and a y-intercept at (5, 0).
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Algebra.Com's Answer #535604 by Theo(13342)\"\" \"About 
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the line starts off at (-4,0) and ends at (5,0)
\n" ); document.write( "the slope is equal to (y2-y1) / (x2-x1)
\n" ); document.write( "assign one of the points to (x1,y1) and assign the other point to (x2,y2) and plug those values into the formula and solve for the slope.
\n" ); document.write( "You can assign any point to (x1,y1) and any other point to (x2,y2). the only requirement is that both points be on the same line.
\n" ); document.write( "I did the following:
\n" ); document.write( "(x1,y1) = (-4,0)
\n" ); document.write( "(x2,y2) = (5,0)
\n" ); document.write( "PROBLEM !!!!!
\n" ); document.write( "(5,0) is not a y-intercept !!!!!
\n" ); document.write( "If that point is a y-intercept, it has to be (0,5).
\n" ); document.write( "the y intercept is the value of y when the value of x is equal to 0.
\n" ); document.write( "the x intercept is the value of x when the value of y is equal to 0.
\n" ); document.write( "looks like you have 2 x intercepts here.
\n" ); document.write( "i changed (5,0) to (0,5) in order to show you how to do it.
\n" ); document.write( "your corrected points are:
\n" ); document.write( "(x1,y1) = (-4,0)
\n" ); document.write( "(x2,y2) = (0,5)
\n" ); document.write( "y2-y1 = 5 - 0 = 5
\n" ); document.write( "x2-x1 = 0 - (-4) = 0 + 4 = 4
\n" ); document.write( "your slope is equal to 5/4.
\n" ); document.write( "to create the equation of the line connecting the 2 points, you need to find the y intercept.
\n" ); document.write( "one way of doing that is to replace x with the value of the x coordinate of one of the points and replace y with the value of the y coordinate of that point and then solve for b in the equation of:
\n" ); document.write( "y = mx + b
\n" ); document.write( "m is the slope = 5/4
\n" ); document.write( "replace x with 0 and y with 5 and you get:
\n" ); document.write( "5 = 4/5*0 + b
\n" ); document.write( "solve for b to get:
\n" ); document.write( "b = 5
\n" ); document.write( "the equation of your line is:
\n" ); document.write( "y = 5/4x + 5
\n" ); document.write( "here's the graph of your line.
\n" ); document.write( "you can see that the points (-4,0) and (0,5) are both on the line.
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