Answer:
The error is in the y-intercept given. The y-intercept is supposed to be (0, -2)
Explanation:
Given:
[tex]\text{x - 5y = 10}[/tex]
To find:
The error from the x and y-intercepts given
The x-intercept is the value of x when y = 0
To get x-intercept, we will substitute 0 for y:
[tex]\begin{gathered} x\text{ - 5\lparen0\rparen = 10} \\ x\text{ - 0 = 10} \\ x\text{ = 10} \\ x-intercept\text{ is 10} \\ in\text{ ordered pair \lparen x, y\rparen: \lparen10, 0\rparen} \end{gathered}[/tex]
The y-intercept is the value of y when x = 0
We will substitute x with 0:
[tex]\begin{gathered} 0\text{ - 5y = 10} \\ -5y\text{ = 10} \\ divide\text{ both sides by -5:} \\ y\text{ = }\frac{10}{-5} \\ y\text{ = -2} \\ y-intercept\text{ is -2} \\ In\text{ ordered pair \lparen x, y\rparen: \lparen0, -2\rparen} \end{gathered}[/tex]
The error is in the y-intercept given. The y-intercept is supposed to be (0, -2)
