Answer: See the graph attached
Step-by-step explanation:
You need to remember that the line intersects the y-axis when [tex]x=0[/tex]
Therefore, in order to find the y-intercept , you need to substitute [tex]x=0[/tex] into the linear equation. Then:
[tex]30x + 75y = 300\\\\30(0) + 75y = 300\\\\y=\frac{300}{75}\\\\y=4[/tex]
The line intersects the x-axis when [tex]y=0[/tex] ;then you need to substitute [tex]y=0[/tex] into the linear equation in order to find the y-intercept. This is:
[tex]30x + 75(0)= 300\\\\x=\frac{300}{30}\\\\x=10[/tex]
Therefore, knowing that the line passes through the points [tex](0,4)[/tex] and [tex](10,0)[/tex], you can determine that its graph is the one attached.
