The graphs below have the same shape. What is the equation of the red graph?
1 answer:
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The slope of the line passing through the points A(a, b), and B(c, d), is given by
thus, the slope of the line through <span>points (p, a) and (p, –a) is
</span>
When applying the slope formula results in division by zero, this means that the line is a vertical line.
This could have also been noticed directly, since the line contains 2 points with the same x-coordinate.
The equation of this line is x=p, since the x-coordinate is always p, no matter what y is.
If p=0, then the equation of the line is x=0, which is the y-axis itself. In this case, the y-intercept is the whole y-axis.
Answer: The whole y-axis.
thus, the slope of the line through <span>points (p, a) and (p, –a) is
</span>
When applying the slope formula results in division by zero, this means that the line is a vertical line.
This could have also been noticed directly, since the line contains 2 points with the same x-coordinate.
The equation of this line is x=p, since the x-coordinate is always p, no matter what y is.
If p=0, then the equation of the line is x=0, which is the y-axis itself. In this case, the y-intercept is the whole y-axis.
Answer: The whole y-axis.