Respuesta :

Answer:

Correct

Explanation:

Given the function:

[tex]5x+3y=15[/tex]

To confirm if the graph is correct, find the x and y-intercepts of the function.

x-intercept

When y=0

[tex]\begin{gathered} 5x+3(0)=15 \\ 5x=15 \\ x=\frac{15}{5}=3 \end{gathered}[/tex]

• The x-intercept is (3,0).

y-intercept

When x=0

[tex]\begin{gathered} 5(0)+3y=15 \\ 3y=15 \\ y=\frac{15}{3}=5 \end{gathered}[/tex]

• The y-intercept is (0,5)

These are the intercepts on the shown graph.

Your graph is correct.