Question

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

Answer 1

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

Explanation:

1.

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

__

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.

_____

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.