Question

what does the slope of a line on a graph represent? * 1 point
c) the starting point of the line
d) the color of the line
b) the steepness or rate of change of the line
a) the total distance traveled

1. if a line on a graph is very steep, what does that mean about the slope? * 1 point

d) the slope is negative
c) the slope is large
b) the slope is small
a) the slope is zero

Explanation:

1. The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. It measures how steep the line is or the rate of change between the two - variables represented on the axes. So, it represents the steepness or rate of change of the line.
2. A very steep line has a large ratio of vertical change to horizontal change. In the context of slope \(m=\frac{\Delta y}{\Delta x}\), a large value of \(m\) indicates a very steep line. A zero - slope means a horizontal line, a small slope means a relatively flat line, and a negative slope just indicates the direction (downward from left to right) not the steepness.

Answer:

1. B. The steepness or rate of change of the line
2. C. The slope is large