Question 591365
First, you are confused about what slope is.
A point like ( 5,2 ) is a point and nothing else.
A slope is a ratio of 2 numbers.
It is ( change in y ) / ( change in x ). Even if it is
a single number like 3, it is still 3/1, and
 ( change in y ) / ( change in x ) = 3/1
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You have {{{ -2y = 4x - 10 }}}
To find slope you want to get it into the form
{{{ y = mx + b }}}, so divide both sides by {{{ -2 }}}
{{{ y = -2x + 5 }}}
The slope is {{{ m }}} and {{{ m = -2 }}}
Remember this is ( change in y ) / ( change in x ) = -2/1
The y-intercept is ( 0,5 )
Here's the plot:
{{{ graph( 400, 400, -10, 10, -10, 10, -2x + 5 ) }}}