Question 1006730
Let x=0;
{{{y=(10/7)*0-7}}}
{{{y=0-7}}}
{{{y=-7}}}--------------this is the y-intercept, and you can say for an equation y=mx+b, the y-intercept is b.


The rational coefficient on x,  {{{10/7}}} would often be found using any two points from the graph of the equation; or any two points which are to satisfy the equation.  


The ratio of vertical change to horizontal change is SLOPE, and this is the coefficient on x in any equation such as {{{y=(10/7)x-7}}}  or {{{y=mx+b}}}.



The x-intercept?
Let y=0 and solve for x.
{{{y=(10/7)x-7}}}
{{{(10/7)x-7=0}}}
{{{(10/7)x=7}}}
{{{(10/7)*x(7/10)=7(7/10)}}}
{{{highlight(x=49/10)}}}---------the x-intercept