Answer:
To find the value of r, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept. Given that the slope of the line is -1/10, we can substitute this value into the equation as follows:
-10 = (-1/10)r + b
Next, we need to find the value of b. To do this, we can substitute one of the given points into the equation and solve for b. Let's use the point (-5, -9):
-9 = (-1/10)(-5) + b
-9 = 1/2 + b
To simplify further, we can convert 1/2 to a decimal:
-9 = 0.5 + b
Now, let's isolate b by subtracting 0.5 from both sides:
-9 - 0.5 = b
b = -9.5
Now that we have the value of b, we can substitute it back into our original equation:
-10 = (-1/10)r - 9.5
To solve for r, let's isolate r by adding 9.5 to both sides:
-10 + 9.5 = (-1/10)r
-0.5 = (-1/10)r
To get rid of the fraction, we can multiply both sides by -10:
(-0.5)(-10) = r
5 = r
Therefore, the value of r is 5.
Explanation: