Question

Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs. On a coordinate plane, a line goes through points A (1, 4) and B (3, 2). CLEAR CHECK The slope of this line is .

Answer 1

Step-by-step explanation:

Final answer:

The slope of the straight line passing through points A (1, 4) and B (3, 2) is calculated using the slope formula 'rise over run', resulting in a slope (m) of -1.

Step-by-step explanation:

To find the slope of a straight line between two points A (1, 4) and B (3, 2), you should use the formula for slope which is rise over run. In this case, the rise is the change in the y-coordinates, and the run is the change in the x-coordinates between points A and B. Consequently, you would calculate the differences in the y-coordinates (4 - 2) and the x-coordinates (1 - 3).

Therefore, the slope (m) can be calculated as follows:

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

m = (2 - 4) / (3 - 1)

m = (-2) / 2

m = -1

This indicates that for every increase of 1 on the horizontal axis, there is a decrease of 1 on the vertical axis, giving us a slope of -1.

The slope of the line passing through points A and B is therefore -1, consistent all along a straight line as demonstrated by the air density graph and the concept depicted in Figure A1 Slope and the Algebra of Straight Lines.

Answer 2

The slope of the straight line passing through points A (1, 4) and B (3, 2) is calculated using the slope formula 'rise over run', resulting in a slope (m) of -1.

Step-by-step explanation:

To find the slope of a straight line between two points A (1, 4) and B (3, 2), you should use the formula for slope which is rise over run. In this case, the rise is the change in the y-coordinates, and the run is the change in the x-coordinates between points A and B. Consequently, you would calculate the differences in the y-coordinates (4 - 2) and the x-coordinates (1 - 3).

Therefore, the slope (m) can be calculated as follows:

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

m = (2 - 4) / (3 - 1)

m = (-2) / 2

m = -1

This indicates that for every increase of 1 on the horizontal axis, there is a decrease of 1 on the vertical axis, giving us a slope of -1.

The slope of the line passing through points A and B is therefore -1, consistent all along a straight line as demonstrated by the air density graph and the concept depicted in Figure A1 Slope and the Algebra of Straight Lines.