**Answer:**

y = 1/2x - 5

**Step-by-step explanation:**

I'm going to use slope-intercept form. Your y-intercept is already shown when x is zero, which is (0,-5). Your slope is defined as rise over run, so 1/2 in this case. This gives you an equation of f(x) = 1/2x-5

**Answer:**

x = 6 and -6

**Step-by-step explanation:**

x²-36 = 0

isolating x

x²-36+36 = 0+36

x²=36

√x² = √36

x = ±6

**Answer:**

12 days

**Step-by-step explanation:**

At the end of the first day he has the distance left to climb = 5,250 feet

He plans to climb the distance each day = 500 feet

Number of days to complete his trip =

= 10.5 ≈ 11 days

He has already climbed for one day, so he will finish his trip in 1 + 11 =** 12 days.**

**Answer:**

The slope is the percentage of test score per number of days absent

**Step-by-step explanation:**

we know that

The formula to calculate the slope between two points is equal to

we have

y -----> is the percentage of test score

x ----> is the number of days absent

so

That means -----> The slope is the percentage of test score per number of days absent

In this problem the slope is negative

so

If the percentage test score increases----> the number of days decreases

If the percentage test score decreases----> the number of days increases