Question

x y-2 80-1 702 405 10Answer the questions using the table.(3 points)the rate of change = the y−intercept =the equation of the line in slope intercept form is 

Answer 1

To find the rate of change, y-intercept, and the equation of the line in slope-intercept form using the data given in your table, let's first clarify the data points. It seems like there might be a typo or formatting issue in the values you've provided.

Based on typical use, I will interpret your data points as follows:

- Let's assume we have the following points:
- Point 1: (2, 80)
- Point 2: (1, 70)
- Point 3: (0, 40) or another point may be implied (if 405 or 10 corresponds to y-values).

To determine the equation of the line, we can use two points:

1. Calculate the slope (rate of change):
\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

2. For example, let's use (1, 70) as \( (x_1, y_1) \) and (2, 80) as \( (x_2, y_2) \):
\[
m = \frac{80 - 70}{2 - 1} = \frac{10}{1} = 10
\]

3. Next, find the y-intercept (b) using the equation:
\[
y = mx + b
\]
Using point (1, 70):
\[
70 = 10(1) + b \implies b = 70 - 10 = 60
\]

4. The equation of the line in slope-intercept form \( y = mx + b \):
\[
y = 10x + 60
\]

Summarizing:

- Rate of change: \( 10 \)
- y-intercept: \( 60 \)
- Equation of the line in slope-intercept form: \( y = 10x + 60 \)

Please clarify or specify any additional data, and I can assist further!