Multiple Choice

Question

Find the slope of the following graph.
A line is graphed on a coordinate grid through the points with coordinates negative 1 comma 4, coordinates 0 comma 2, coordinates 1 comma 0, coordinates 2 comma negative 2.
(1 point)
Responses

one-half
Image with alt text: one-half

2
2

–2
–2

–one-half

Answer 1

The slope of the line can be found by calculating the change in y-coordinates divided by the change in x-coordinates.

For the given points:
Coordinates -1,4 and 0,2:
Change in x-coordinates: 0 - (-1) = 1
Change in y-coordinates: 2 - 4 = -2

Coordinates 0,2 and 1,0:
Change in x-coordinates: 1 - 0 = 1
Change in y-coordinates: 0 - 2 = -2

Coordinates 1,0 and 2,-2:
Change in x-coordinates: 2 - 1 = 1
Change in y-coordinates: -2 - 0 = -2

Since the change in y-coordinates is consistently -2 for each change in x-coordinates, the slope of the graph is -2.