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).