Question

What is the slope of a graph with the coordinates (1,2), (0,3), and (-1,4)?

a) -1/2
b) 1/2
c) -2
d) 2

Answer 1

The slope of a line passing through the points (1,2), (0,3), and (-1,4) is calculated using two of the points and is found to be -1, indicating a straight line with a negative slope. The correct option is c.

Step-by-step explanation:

The question asks about finding the slope of a graph given the coordinates (1,2), (0,3), and (-1,4). To find the slope, we can use the formula for slope, which is the change in y-values divided by the change in x-values (rise over run). Using any two points, let's take (1,2) and (0,3) for example:

• Slope (m) = (y2 - y1) / (x2 - x1)
• m = (3 - 2) / (0 - 1)
• m = 1 / -1
• m = -1

Therefore, the slope of the graph is -1, which means the line is a straight line with a negative slope. This slope corresponds to option (c) in the question. The correct option is c.

Answer 2

The slope of the graph with the coordinates (1,2), (0,3), and (-1,4) is -1.

Therefore, the slope of the graph is -1 (option C).

Step-by-step explanation:

The slope of a graph can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the graph.

Using the given coordinates (1,2), (0,3), and (-1,4), we can calculate the slope as follows:

m = (2 - 4) / (1 - (-1)) = -2 / 2 = -1

Therefore, the slope of the graph is -1 (option C).