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
0
0
8
8
3
3
10
10
6
6
12
12
9
9
14
14





y

=
y =

x

+
x +

Answer 1

I found one of the answers its y=____x+8

Answer 2

m is wrong

Answer 3

To find the equation in slope-intercept form (y = mx + b) from the table of values you provided, we first identify the slope (m) and the y-intercept (b).

From the data you provided, it looks like for each value of x, y is equal to x, as indicated:

- When \( x = 0, y = 0 \)
- When \( x = 3, y = 3 \)
- When \( x = 6, y = 6 \)
- When \( x = 8, y = 8 \)
- When \( x = 9, y = 9 \)
- When \( x = 10, y = 10 \)
- When \( x = 12, y = 12 \)
- When \( x = 14, y = 14 \)

This indicates a linear relationship where y is equal to x.

### Finding the slope (m)
The slope (m) can be calculated using the formula:

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

Choosing any two points from the table, e.g., (0, 0) and (1, 1):

\[
m = \frac{1 - 0}{1 - 0} = 1
\]

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

### Final Equation
Now, substituting the values of m and b into the slope-intercept equation, we get:

\[
y = 1x + 0 \quad \text{or} \quad y = x
\]

So the final equation is:

\[
y = x
\]

Answer 4

If you are looking for an equation in the form \( y = mx + 8 \), we can still use the information provided in the table. The y-intercept \( b \) in your desired equation format is 8.

### To find the slope \( m \):

Using any two points from the given table, let's take a point with \( y = 8 \) and one of the other points (for example, \( (0, 0) \) or \( (10, 10) \)). However, since \( y \) should equal 8 when \( x \) is at a specific value to fit that equation format, we can assess the table accordingly.

Let's use the point \( (0, 8) \):

Assuming that at \( x = 0 \), \( y = 8 \), and another point \( (10, 10) \):
- The slope (m) can be calculated as follows:

1. Pick two points:
- Point A: \( (0, 8) \)
- Point B: \( (10, 10) \)

2. Calculate the slope:
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 8}{10 - 0} = \frac{2}{10} = \frac{1}{5}
\]

Now we have:
- \( m = \frac{1}{5} \)
- \( b = 8 \)

### Write the equation:
Now we substitute those values into the equation format of \( y = mx + b \):

\[
y = \frac{1}{5}x + 8
\]

So the final equation based on your requirement \( y = mx + 8 \) is:

\[
y = \frac{1}{5}x + 8
\]

If you're looking for a different slope, please provide more context or specific points to calculate.

Answer 5

I apologize for any confusion. Let’s clarify and compute the correct slope (m) using the points from the table provided.

You mentioned a particular form \( y = mx + 8 \). This implies that the y-intercept \( b \) is 8.

To calculate the slope \( m \), we need to find two points in the table that provide us with valid data.

### Available Data Points
From your table, I see several points, but I will focus on points that are directly relevant:
- \( (0, 8) \) (this point does not exist in your data)
- Use the correct point, such as \( (8, 8) \)
- Another point like \( (0, 0) \) or another with values in the table.

### Calculate the Slope
Let’s take two points from your data:

From the table, let's use:
1. \( (8, 8) \)
2. \( (0, 0) \)

Now let’s calculate \( m \):

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

Take these points:
- \( (0, 0) \) as \( (x_1, y_1) \)
- \( (8, 8) \) as \( (x_2, y_2) \)

Calculate it:

\[
m = \frac{8 - 0}{8 - 0} = \frac{8}{8} = 1
\]

### Final Equation
Now, using \( m = 1 \) and the intercept \( b = 8 \):

\[
y = 1x + 8 \quad \text{or} \quad y = x + 8
\]

### Summary
So if the equation is in the form \( y = mx + 8 \), the corrected answer, based on your clarification, is:

\[
y = 1x + 8 \quad \text{or} \quad y = x + 8
\]

If this doesn't match your expectations or data, please provide the specific points you want to use, and I will recalculate accordingly. Thank you for your patience!