Question

A graph of a linear equation passes through (-2,0) and (0,-6).

1. Use the two points to sketch the graph of the equation.
2. Is 3x - y = -6 an equation for this graph? Explain how you know.

Answer 1

1. see attached
2. no; it has the wrong slope and y-intercept

Explanation:

1.

The signs of both intercepts are negative, so the segment connecting them will form a triangle with the axes in the 3rd quadrant. The line will have negative slope. The points and line are shown in red in the attachment.

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2.

The equation produces a line with x-intercept -2 and y-intercept 6. The sign of the y-intercept is wrong, and the slope of the line is positive. The equation cannot be the equation of the line through the given points. This line is shown in blue in the attachment.