document.write( "Question 378517: what is the x-intercept, slope, and y-intercept for this problem
\n" ); document.write( "y=1/4x-4 \n" ); document.write( "

Algebra.Com's Answer #268938 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
what is the x-intercept, slope, and y-intercept for this problem
\n" ); document.write( "y = $\"1%2F4\"$ x - 4
\n" ); document.write( ":
\n" ); document.write( "The x intercept occurs when y = 0, replace y with 0 and solve for x
\n" ); document.write( " $\"1%2F4\"$ x - 4 = 0
\n" ); document.write( "add 4 to both sides
\n" ); document.write( " $\"1%2F4\"$ x = 4
\n" ); document.write( "Multiply both sides by 4, get rid of the fraction and you have
\n" ); document.write( "x = 4(4)
\n" ); document.write( "x = 16 is the x intercept
\n" ); document.write( ":
\n" ); document.write( "The equation is in the slope/intercept form y = mx + b
\n" ); document.write( "therefore the slope (m) = $\"1%2F4\"$
\n" ); document.write( ":
\n" ); document.write( "The y intercept occurs with x = 0, replace x with 0, find y
\n" ); document.write( "y = $\"1%2F4\"$ (0) - 4
\n" ); document.write( "y = 0 - 4
\n" ); document.write( "y = -4 is the y intercept
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Graphically
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+20%2C+-10%2C+10%2C+.25x-4%29+\"$
\n" ); document.write( "You can see the line intercepts the y axis at -4
\n" ); document.write( "Line intercepts the x axis at +16
\n" ); document.write( "You can see the slope, it rises 4 units, while it runs horizontally 16 units
\n" ); document.write( "written 4/16 which reduces to 1/4, right? \n" ); document.write( "

\n" );