The graph of a linear equation passes through the points (-2, 0) and (0, -6).
1. Use the two points to draw the graph of the equation.

2. Is 3x - y = -6 an equation for this graph? Explain how it

Respuesta :

Answer:

  1. see attached
  2. no. It has the right x-intercept, but the wrong slope

Step-by-step explanation:

1.

The graph of the line through the two given points is shown in blue in the attachment.

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2.

The graph of the equation is shown in black in the attachment. It has the right x-intercept, but the sign of the y-term is incorrect. The equation is not the equation of the line in part 1.

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Additional comment

For a line written in standard form ...

  ax +by = c

The x- and y-intercepts are c/a and c/b, respectively. The given points are the x- and y-intercepts, so we expect c/a = -2 and c/b = -6. In the given equation, c/b = +6, so has the wrong sign.

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