Question

Find the slope of the line given it's graph -1/2, 1/2, 2, 4

Answer 1

To find the slope of the line given its graph, we need to choose two points on the line. Let's choose the points (-1/2, 1/2) and (2, 4).

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:

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

Plugging in the values:

m = (4 - 1/2) / (2 - (-1/2))
= (4 - 1/2) / (2 + 1/2)
= (8/2 - 1/2) / (4/2 + 1/2)
= (7/2) / (9/2)
= 7/2 * 2/9
= 7/9

Therefore, the slope of the line is 7/9.