SOLUTION: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph: 4y = 7

Graph the following equations; calculate the slope, 
x-intercept, and y-intercept, and label the intercepts 
on the graph: 



We write that in standard form



where m is the slope and (0,b) is the y-intercept:

So first to get the y we multiply both sides by 







Now that is not in the form 
but we can easily make it in that form by adding 
to the right side in front of the :



Now we compare this to 



and find  and , so the slope is 0
and the y-intercept is (0,).

To plot the y-intercept, we first convert 
to the mixed fraction  and plot a
point on the y-axis, ths of the way between
1 and 2 on the y-axis:



Now since the slope is 0, that makes it easy. Lines
with slope 0 are always horizontal.  Therefore we
draw a horizontal line through that point:



So the slope is 0, the y-intercept is (0,), and
there can be no x-intercept because the line is horizontal
and therefore parallel to the x-axis and therefore can
never intersect it.

Edwin