Question

the answer to the question and also please give the domain interval notation and also the range interval notation.

Answer 1

Given

`-2x+5y=10`

Find

Graph the line and find the domain and range

Step-by-step 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

`(-\infty,\infty)`

and range is the sets of all valid y values.

so , range =

`(-\infty,\infty)`

Final Answer

Hence , the required graph is shown above.

domain and range is

`(-\infty,\infty)`