Question

Graph the line through points (-1, -3) and (7, -8)

From the graph, tell whether the slope is..

Answer 1

a) Negative slope

`m=-(5)/(8)`

Explanation:

The graph of the given line is shown in the attachment.

We can see from the grap that, the line is sloping backwards.

Therefore the line has a negative slope.

The given points are (-1,-3) and (7,-8).

We use the formula
`m=(y_2-y_1)/(x_2-x_1)` to find the slope of this line.

`\implies m=(-8--3)/(7--1)`

`\implies m=(-8+3)/(7+1)`

`\implies m=-(5)/(8)`

We can confirm from the result of our calculation that the slope is actually negative.