How do you evaluate the expression #(y-(-1))/(x-(-4))# when x=6 and y=4?

Question

HIX Tutor · Accepted Answer

undefined To evaluate the expression $(y - (-1))/(x - (-4))$ when $x = 6$ and $y = 4$, follow these steps:

1. **Substitute $y$ and $x$**:
   - Replace $y$ with $4$.
   - Replace $x$ with $6$.

So, it becomes:  
   $$
   \frac{(4 - (-1))}{(6 - (-4))}
   $$

2. **Simplify**:
   - $4 - (-1) = 4 + 1 = 5$
   - $6 - (-4) = 6 + 4 = 10$

3. **Replace in the expression**:
   Now, it looks like this:  
   $$
   \frac{5}{10}
   $$

4. **Calculate the result**:
   Divide $5$ by $10$:  
   $$
   \frac{5}{10} = 0.5
   $$

So, the answer is $0.5$.

Eli Assouline · Answer

#1/2#

Enter the provided values for x and y into the expression to evaluate it.

#color(orange)"Reminder " -(-)=+#

#rArr(color(red)(4)-(-1))/(color(blue)(6)-(-4))#

#=(4+1)/(6+4)#

#=5/10=cancel(5)^1/cancel(10)^2#

#=1/2#

Genesis Allen · Answer

undefined Substitute the given values of x and y into the expression:

$$
\frac{{4 - (-1)}}{{6 - (-4)}}
$$

Then, simplify:

$$
\frac{{4 + 1}}{{6 + 4}} = \frac{5}{10} = \frac{1}{2}
$$

Therefore, the value of the expression is $ \frac{1}{2} $.