Question

When given the first endpoint (2,4), the point of partition (5,10), and the part-to-whole ratio of what is the second endpoint?

a) (7,14)
b) (8,16)
c) (9,18)
d) (10,20)

Answer 1

To find the slope of a line passing through two points, calculate the difference in x-coordinates and y-coordinates, and then use the formula slope = Δy / Δx.

Step-by-step explanation:

Step 1:

Calculate the difference in x-coordinates and y-coordinates between the two given points:

Δx = 7 - 1 = 6

Δy = 26.8 - 0.1 = 26.7

Step 2:

Use the formula for slope:

slope = Δy / Δx

Step 3:

Substitute the values of Δx and Δy into the formula:

slope = 26.7 / 6 = 4.45

Therefore, the slope for the line passing through the two points is approximately 4.45.