Find the slope of the line.

A coordinate grid shows both the x- and y-axes from negative 5 to 5 and a line graphed connecting the points left-parenthesis negative 4 comma negative 1 right-parenthesis and left-parenthesis 0 comma negative 3 right-parenthesis.
(1 point)
Responses

one-half
Image with alt text: one-half

–one-half
– Image with alt text: one-half

–2
–2

2
2
Skip to navigation

1 answer

To find the slope of a line, we can use the formula:

slope = (change in y-coordinates)/(change in x-coordinates)

From the given information, the coordinates of the two points are (-4, -1) and (0, -3).

Let's calculate the change in y-coordinates:
change in y = -3 - (-1) = -3 + 1 = -2

And now let's calculate the change in x-coordinates:
change in x = 0 - (-4) = 0 + 4 = 4

Now we can calculate the slope:
slope = (-2)/(4)

Simplifying the fraction, we get:
slope = -1/2

Therefore, the slope of the line is -1/2.