Respuesta :

Given:

The graph of a straight line is given as,

[tex]3x+10y=33[/tex]

The objective is to find the x-intercept and y-intercept of the graph.

Explanation:

To find x-intercept:

Substitute y = 0 in the given equation.

[tex]\begin{gathered} 3x+10(0)=33 \\ x=\frac{33}{3} \\ x=11 \end{gathered}[/tex]

Thus, the coordinate is (11,0).

To find y-intercept:

Substitute x = 0 in the given equation.

[tex]\begin{gathered} 3(0)+10y=33 \\ y=\frac{33}{10} \\ y=3.3 \end{gathered}[/tex]

Thus, the coordinate is (0,3.3).

Hence, the x-intercept is (11,0) and y-intercept is (0,3.3).