Question 1094505
These have very clear definitions.

Slope is the ratio of vertical change to horizontal change.  

y-intercept is what the value is for y for x=0.



Your example slope = -1 and y-intercept  8 means that your line contains a point (0,8); and you can find other points using the given slope of -1; move down one unit and move rightward one unit; or move downward by {{{1/2}}} a unit and move rightward by {{{1/2}}} a unit; or move upward by 5 units and move leftward by 5 units; or other examples according to slope {{{-1}}}.


Equation for your example:  {{{y=-x+8}}}


graph of your example:
{{{graph(300,300,-10,10,-1,19,-x+8)}}}