Question

Verify this, then come as close as you can to finding the slope of the line that is tangent to the ellipse at P.a) 0.6

b) 1.2
c) -2.4
d) -4.8

Answer 1

Using the slope formula (change in y) / (change in x), the slope for the line passing through Point 1: (1, 0.1) and Point 2: (7, 26.8) is calculated to be approximately 4.5, which rounds to option b.

Step-by-step explanation:

To find the slope of the line passing through two points, you can use the slope formula, which is (change in y) / (change in x), often expressed as (y2 - y1) / (x2 - x1). Let's apply this formula to the given points Point 1: (1, 0.1) and Point 2: (7, 26.8).

The change in y is 26.8 - 0.1 = 26.7, and the change in x is 7 - 1 = 6. So the slope (a) is:

a = 26.7 / 6 = 4.45

The slope value of 4.45 is not exactly one of the options provided (a. 2.4 or b. 4.5), but it is very close to option b, which seems to be a rounded value, therefore the answer is b. 4.5.