Respuesta :

Answer:

The equation is given below as

[tex]2y=5x-10[/tex]

Concept:

To calculate the value of y when x=0, we will substitute the x=0 in the equation above and solve for y

By substituting the values, we will have

When x=0

[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(0)-10 \\ 2y=-10 \\ \frac{2y}{2}=-\frac{10}{2} \\ y=-5 \\ (0,-5) \end{gathered}[/tex]

When x=1

[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(1)-10 \\ 2y=5-10 \\ 2y=-5 \\ \frac{2y}{2}=-\frac{5}{2} \\ y=-2.5 \\ (0,-2.5) \end{gathered}[/tex]

When x=2

[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(2)-10 \\ 2y=10-10 \\ 2y=0 \\ \frac{2y}{2}=\frac{0}{2} \\ y=0 \\ (2,0) \end{gathered}[/tex]

When x=3

[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(3)-10 \\ 2y=15-10 \\ 2y=5 \\ \frac{2y}{2}=\frac{5}{2} \\ y=2.5 \\ (3,2.5) \end{gathered}[/tex]

When x=4

[tex]\begin{gathered} 2y=5x-10 \\ 2y=5(4)-10 \\ 2y=20-10 \\ 2y=10 \\ \frac{2y}{2}=\frac{10}{2} \\ y=5 \\ (4,5) \end{gathered}[/tex]

Hence,

By graphing using the ordered pairs below, we will have

[tex]\begin{gathered} (2,0) \\ (0,-5) \end{gathered}[/tex]

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