Given
[tex]-2x+5y=10[/tex]
Find
Graph the line and find the domain and range
Explanation
to graph the line , we need points.
so first we find the points on the line.
-2x + 5y = 10
put x = 0
0 + 5y = 10
y = 2
one point is (0 , 2)
now , substitute y = 0
-2x + 0 = 10
x = -5
other point is (-5 , 0)
we have two points to plot : (0 , 2) and (-5 , 0)
below is the graph of the equation
we have
-2x + 5y = 10
5y = 10 + 2x
y = 2 + 2x/5
the domain of the expression is all real numbers except where the expression is undefined.
in this case , there is no real number that makes the expression undefined.
so , the domain is
[tex](-\infty,\infty)[/tex]
and range is the sets of all valid y values.
so , range =
[tex](-\infty,\infty)[/tex]
Final Answer
Hence , the required graph is shown above.
domain and range is
[tex](-\infty,\infty)[/tex]
