Question

20. Line L has a y-intercept of 2 and contains the points (a, a) and (2a, 12). If a is a positive constant, what is the slope of line L?

Answer 1

The slope of line L is 12/a - 1.

Step-by-step explanation:

The slope of a line can be found using the formula:

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

In this case, we can use the points (a, a) and (2a, 12) to find the slope. The y-values of these points are a and 12, and the x-values are a and 2a. Plugging these values into the slope formula, we get:

slope = (12 - a) / (2a - a) = (12 - a) / a = 12/a - 1

Therefore, the slope of line L is 12/a - 1.

Answer 2

• (12 - a)/a

Step-by-step explanation:

Given

• Line L with
• y-intercept = 3
• Points (a, a) and (2a, 12)

The slope is

• m = (y2 - y1)/(x2 - x1)
• = (12 - a)/(2a - a)
• = (12 - a)/a