The slope of a line that passes through two points can be calculated using the formula:
slope (m) = (y2 – y1) / (x2 – x1)
In this case, we have the points (20, 30) and (40, 14). We can assign these points as follows:
- (x1, y1) = (20, 30)
- (x2, y2) = (40, 14)
Now, plug these values into the slope formula:
m = (14 – 30) / (40 – 20)
Calculating the difference in the y-coordinates:
m = (-16) / (20)
This simplifies to:
m = -0.8
Therefore, the slope of the line that passes through the points (20, 30) and (40, 14) is -0.8. This negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line slopes downward from left to right.