Question

Find the missing value using the given information

(4,p), (p,-3), m=5/3

Please help!

Answer 1

To find the missing value in the given information, we can use the formula for finding the slope between two points.

Step-by-step explanation:

To find the missing value in the given information, let's use the formula for finding the slope between two points: m = (y₂ - y₁) / (x₂ - x₁). We have two points: (4, p) and (p, -3). Plugging in the values, we get: (-3 - p) / (p - 4) = 5/3. To solve for p, we can cross multiply and simplify the equation: 3(-3 - p) = 5(p - 4). Solving this equation will give us the value of p.

Let's solve the equation step by step:

`\[3(-3 - p) = 5(p - 4)\]`

First, distribute the 3 on the left side and the 5 on the right side:

`\[ -9 - 3p = 5p - 20\]`

Next, combine like terms:

`\[ -3p = 5p - 11\]`

Now, add 3p to both sides to isolate the variable p:

`\[ -11 = 8p\]`

Finally, divide both sides by 8 to solve for p:

`\[ p = -(11)/(8) \]`

So, the solution to the equation is
`\( p = -(11)/(8) \)`.