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The graph of the linear equation x+2y=7 ...

The graph of the linear equation x+2y=7 passes through the point (0,7).

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To determine whether the graph of the linear equation \( x + 2y = 7 \) passes through the point \( (0, 7) \), we will substitute the coordinates of the point into the equation and check if the equation holds true. ### Step-by-step Solution: 1. **Identify the coordinates of the point**: The point given is \( (0, 7) \). Here, \( x = 0 \) and \( y = 7 \). 2. **Substitute the values into the equation**: We will substitute \( x = 0 \) and \( y = 7 \) into the equation \( x + 2y = 7 \). ...
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Knowledge Check

  • Which of the following is an equation of the line in the xy - plane that passes through the point (0, -7) and is perpendicular of the line y=-6x+2 ?

    A
    `y=-6x+7`
    B
    `y=-6x+14`
    C
    `y=-(1)/(6)x+6`
    D
    `y=(1)/(6)x-7`

  • Which of the following could be the equation of a line that passes through the points (-2,-7) and (2,17) in the standard (x,y) coordinate plane ?

    A
    3x-2y=8
    B
    6x-y=-5
    C
    5x-2y=7
    D
    9x-2y=-16

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