To conduct a regression analysis and draw the regression line, we need to use a statistical software or tool. However, I can provide you with the steps and the formula for calculating the regression line manually.

Step 1: Calculate the mean of both the price and demand variables.
Mean of price (X̄) = (7 + 8 + 9 + 6 + 5)/5 = 7
Mean of demand (Ȳ) = (8 + 6 + 7 + 9 + 10)/5 = 8

Step 2: Calculate the deviations of each price and demand value from their respective means.
Deviation of price (Xi - X̄):
(7 - 7) = 0
(8 - 7) = 1
(9 - 7) = 2
(6 - 7) = -1
(5 - 7) = -2

Deviation of demand (Yi - Ȳ):
(8 - 8) = 0
(6 - 8) = -2
(7 - 8) = -1
(9 - 8) = 1
(10 - 8) = 2

Step 3: Calculate the product of the deviations of price and demand.
Product of deviations (Xi - X̄)(Yi - Ȳ):
0 * 0 = 0
1 * -2 = -2
2 * -1 = -2
-1 * 1 = -1
-2 * 2 = -4

Step 4: Calculate the sum of the product of deviations.
Sum of products = 0 + (-2) + (-2) + (-1) + (-4) = -9

Step 5: Calculate the sum of the squared deviations of price.
Sum of squared deviations of price (Xi - X̄)^2:
(0 - 7)^2 = 49
(1 - 7)^2 = 36
(2 - 7)^2 = 25
(-1 - 7)^2 = 64
(-2 - 7)^2 = 81

Sum of squared deviations of price = 49 + 36 + 25 + 64 + 81 = 255

Step 6: Calculate the regression coefficient (b).
b = Sum of products / Sum of squared deviations of price
b = -9 / 255 = -0.035

Step 7: Calculate the intercept (a).
a = Ȳ - b * X̄
a = 8 - (-0.035 * 7) = 8.245

The regression line equation is:
Y = a + b * X
Y = 8.245 - 0.035 * X

Now, we can plot the regression line on a graph with the price (X) on the x-axis and demand (Y) on the y-axis.