Respuesta :

Answer:

2x-5y=10 in slope intercept form is y=2/5x-2. The x intercept would be 5 and the y intercept would be -2. The slope is 2/5.

Step-by-step explanation:

Think about the axis for a moment. You have the y-axis and the x-axis. The y-axis crosses the x-axis at y=0. Consequently the graph must also cross the x-axis when its equation has its y-value set to 0.

Likewise the graph will cross the y-axis when x=0

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Solving your question

To find the x-intercept set y=0 giving

[tex] - 2x + 5(0) = - 10 \\ - 2x = - 1 |?| [/tex]

Multiply both sides by ( -1) giving

[tex]2x = 10[/tex]

Divide both sides by 2 giving

[tex] \frac{2}{2} \times x = \frac{10}{2} \\ [/tex]

But [tex] \frac{2}{2} = 1 \: \\ [/tex] giving

[tex]x = \frac{10}{2} \\ [/tex]

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