Question

of the tree lines in graph, one has slop 1, one has slope 2, and one has slope 1/5. label each line with its slope.

Answer 1

The black line has a slope of (1/5).

The green line has a slope of 1.

The yellow line has a slope of 2.

Step-by-step explanation

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

Assuming each box represents a unit on this graph,

For each of these lines, we can then select two points on them to calculate or use the knowledge that the more steep vertically a line is, the bigger its slope.

On this graph, the yellow line is the most steep, hence, it has to have the highest slope there (2).

The green line is next in terms of steepness, hence, its slope has to be 1.

Then the black line is the least steep on this graph, hence, it has to have the lowest slope (1/5).

Hope this Helps!!!