Question

Write an equation from slope-intercept form (

y
=
m
x
+
b
y=mx+b ) from the table below. Click Here for Help Video.

x
x
y
y
−
5
−5
−
7
−7
0
0
1
1
5
5
9
9
10
10
17
17





y

=
y =

x

+
x +

Answer 1

I found the second answer which is y=____x +-7 find what y=?

Answer 2

m is NOT an answer I need numbers

Answer 3

u have to use the table here x
y
y
−
5
−5
−
7
−7
0
0
1
1
5
5
9
9
10
10
17
17

Answer 4

To determine the equation in slope-intercept form \(y = mx + b\) from the table you provided, we first need to identify two key components: the slope \(m\) and the y-intercept \(b\).

1. **Choose two points from the table:**
To find the slope, let's use the points (0, 0) and (5, 5).

2. **Calculate the slope \(m\):**
The formula for calculating the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Plugging in our points (0, 0) and (5, 5):
\[
m = \frac{5 - 0}{5 - 0} = \frac{5}{5} = 1
\]

3. **Identify the y-intercept \(b\):**
The y-intercept is the value of \(y\) when \(x = 0\). From the table, when \(x = 0\), \(y = 0\), so \(b = 0\).

4. **Write the equation using \(m\) and \(b\):**
With \(m = 1\) and \(b = 0\), we can write the equation:
\[
y = 1x + 0
\]

This simplifies to:
\[
y = x
\]

So, the final equation in slope-intercept form is:
\[
\boxed{y = x}
\]

Answer 5

To find the equation of the line in the form of \( y = mx + b \) that includes the specific slope you mentioned (\(m\)) and the y-intercept (\(b\) is \(-7\)), we can proceed as follows:

1. **Identify the Y-Intercept:**
The y-intercept is given as \(-7\). This means that when \(x = 0\), \(y\) will be \(-7\).

2. **Use the Slope:**
You indicated the equation structure is \(y = mx - 7\). However, we still need the slope \(m\) (the coefficient of \(x\)).

3. **If we set \(m = 1\) (the value we calculated before):**
Then we can write the equation as:
\[
y = 1x - 7
\]
or simply
\[
y = x - 7
\]

4. **If you have a different specific slope in mind, substitute it in place of 1 to find the equation with that slope:**
For example:
- If \(m = 2\), then the equation would be:
\[
y = 2x - 7
\]
- If \(m = -1\), then the equation would be:
\[
y = -1x - 7 \quad \text{or} \quad y = -x - 7
\]

So, without more information about the slope \(m\), the general form with the y-intercept of -7 is:
\[
y = mx - 7
\]

If you provide the slope \(m\), I can help you fill in the exact equation.

Answer 6

I apologize for the confusion. It seems you were looking for a specific numeric answer. Given your previous prompt, if we are trying to find a line that has a y-intercept of -7 and aligns with points from the table you provided, we can use the points to determine the actual slope and then put that into the equation format.

Let's utilize the points you've provided again:

From your table:
- The points include: (−5, −7), (0, 0), (5, 5), (10, 10), (17, 17).

If we want to find an equation where the y-intercept is -7, we can work with the point (−5, −7).

To create an equation in the form \( y = mx - 7 \), we can look at another point for more accuracy.

### Selecting an appropriate point:
Let's take the point (0, 0) and (−5, −7):
- For the point (−5, −7), the value of \(y\) is -7 when \(x\) is -5.

**Step 1: Calculate the slope \(m\):**
Choose another point in the table, say (0, 0):
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 0}{-5 - 0} = \frac{-7}{-5} = \frac{7}{5}
\]

**Step 2: Form the equation:**
Using the slope \(m = \frac{7}{5}\) and the y-intercept \(b = -7\):
\[
y = \frac{7}{5}x - 7
\]

### Filling in the answer:
Given the values you've specified earlier:
If you were instructed to fill in \(y = mx - 7\) with \(m = \frac{7}{5}\):
\[
y = \frac{7}{5}x - 7
\]

If you wanted the specific form:
\(
y = \frac{7}{5}x - 7
\)

If this assumption isn't correct based on the expectation of simply filling in the \(y\) value with another specific numeric equation based on a given slope (if you have a specific slope in mind, or points):
1. Please clarify the points or the specific slope you are considering, and I can provide an exact numeric answer.
2. I'm eager to assist with the correct values you seek!

Answer 7

Thank you for your patience. To find the equation of the line using the points from the table you provided, we can focus on identifying two points from the table. Let's summarize the table:

**Table of Values:**

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-5 & -7 \\
0 & 0 \\
1 & 1 \\
5 & 5 \\
9 & 9 \\
10 & 10 \\
17 & 17 \\
\hline
\end{array}
\]

### Step 1: Identify Two Points
From the table, we can select the points \( (0, 0) \) and \( (-5, -7) \).

### Step 2: Calculate the Slope \( m \)
The slope \( m \) is calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points \( (0, 0) \) and \( (-5, -7) \):

\[
m = \frac{-7 - 0}{-5 - 0} = \frac{-7}{-5} = \frac{7}{5}
\]

### Step 3: Calculate the Y-Intercept \( b \)

The y-intercept \( b \) is the \( y \)-value when \( x = 0 \). From the table, when \( x = 0 \), \( y = 0 \), so \( b = 0 \).

### Step 4: Write the Equation in Slope-Intercept Form

Now, we can write the equation in slope-intercept form \( y = mx + b \):

\[
y = \frac{7}{5}x + 0
\]

Which simplifies to:

\[
y = \frac{7}{5}x
\]

### Conclusion

Going back to the context of your earlier question (which referred to an intercept of -7), if you wanted to align with that and focus on the y-intercept of \(-7\) instead (though not directly derived from the slope we calculated), the equation would still look like:

If you wanted the equation with \(b = -7\), it could be:

\[
y = mx - 7
\]

However, if it is based on your values from the table, the derived equation is:

\[
\boxed{y = \frac{7}{5}x}
\]

If you intend to find the equation with \( b = -7 \) using another numeric slope, please specify the points or values, and I’ll gladly assist!