Question

Lina a passes through the points (1,4) and (6,14). line b passes through the points (1,-2) and (6,23). What is the slope of line a?

1) 2
2) 3
3) 4
4) 5

Answer 1

The slope of line a is calculated using the slope formula, which is the change in y divided by the change in x. Upon applying the formula to points (1,4) and (6,14), the slope of line a results in 2.

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For line a, which passes through the points (1,4) and (6,14), we can apply this formula to find the slope.

For line a:

• x1 = 1, y1 = 4
• x2 = 6, y2 = 14

Calculating the slope of line a:

m = (14 - 4) / (6 - 1)

m = 10 / 5

m = 2

Therefore, the slope of line a is 2.