Final answer:
When comparing two lines, if line B (slope of 12.0) is the new line and line A (slope of -4.7) is the original, then line B has a higher slope than line A.
Step-by-step explanation:
When comparing the characteristics of two lines, it is essential to look at their slopes and y-intercepts. The slope of the line indicates how steep the line is and whether it is increasing or decreasing. A positive slope means the line rises as the x-values increase, and a negative slope means the line falls. The y-intercept is the point at which the line crosses the y-axis.
In the given options, we can conclude that a line with a higher numerical slope value, whether positive or negative, is steeper than one with a lower numerical slope value. Hence, comparing a line A with a slope of -4.7 with a line B with a slope of 12.0 would lead us to conclude that line B has a higher slope because the slope's numerical value is greater.
Therefore, if the original line is line A with a slope of -4.7, and the new line is line B with a slope of 12.0, the correct statement about the relationship between the original line and the new line is that the new line has a higher slope.