Question

Graph the line through points (-1, -3) and (7, -8) From the graph, tell whether the slope is..

Answer 1

Answer:

a) Negative slope

$m=-\frac{5}{8}$

Step-by-step 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 $m=\frac{y_2-y_1}{x_2-x_1}$ to find the slope of this line.

$\implies m=\frac{-8--3}{7--1}$

$\implies m=\frac{-8+3}{7+1}$

$\implies m=-\frac{5}{8}$

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