Question 121333
a line <font color="red">pependicular</font> to {{{y= -1/4x +5}}}

recall: 

a  <font color="red">pependicular</font> lines have the <font color="red">product</font> of <font color="red">slopes</font> equal to <font color="red">-1</font>

or

<font color="red">m* m[1]= -1</font>

given:

{{{y= -1/4x +5}}}........this is a <font color="red">slope-intercept form</font> and the <font color="red">slope m</font> is equal to <font color="red">-1/4</font> 


so, we need to find the <font color="red">slope m[1]</font>


{{{m*m[1] = -1}}}


{{{(-1/4)*m[1] = -1}}}


{{{m[1] = (-1)/(-1/4)}}}


{{{m[1] = (-1/1)/(-1/4)}}}


{{{m[1] = (-4/-1)}}}


<font color="red"> m[1]= 4</font>


the <font color="red">slope-intercept form</font> will be:

{{{y = m[1]x + b}}}

if you assume that {{{b=0}}}, your equation will be:

{{{y = 4x }}}

here is the graph:

*[invoke solve_by_graphing "(1/4)", 1, 5, -4, 1, 0]