Question

Graph the lines: y= 4x, y = – 4, and x = - 2.

Answer 1

How can we answer this

Answer 2

Attached is a screenshot of the graphed lines.

I graphed the line, y = 4x, by using the y-intercept (0 ,0), and used the slope (m = 4) to plot other points: {(-1, -4), (1, 4)}.

For y = -4, it is a horizontal line (y = b) with a zero slope. Therefore, regardless of the x-value, its corresponding y-coordinate will be the same (y = -4). To graph the line for y = -4, start at y = -4 and create a horizontal line from there.

For x = -2, it is a vertical line (x = a) with an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate. Thus, regardless of the y-value, its corresponding x-coordinate will always be x = -2. To graph the graph, I started at point (-2, 0), and created a vertical line from there.

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