Question 321368
Since the equation is a straight line, it can only
intercept the y-axis at one point. It can only
intercept the x-axis at one point, also.
The key facts are:
The y-intercept occurs where {{{x = 0}}}
The x-intercept occurs where {{{y = 0}}}
given:
{{{4y = -28 + 7x}}} 
Let {{{x = 0}}}
{{{4y = -28 + 7*0}}}
{{{4y = -28}}}
{{{y = -7}}} this is the y-intercept
Now let {{{y = 0}}}
{{{4*0 = -28 + 7x}}}
{{{7x = 28}}}
{{{x = 4}}} this is the x-intercept
Here's a plot which shows the intercepts:
 {{{ graph( 400, 400, -10, 10, -10, 10, (7/4)*x - 7 ) }}}