Question
Write an equation in slope-intercept form ( y = mx+b ) from the table below. Help Video(2 points)y =x +
Answers
GPT-4o mini
To write an equation in slope-intercept form (y = mx + b) based on a table of values, we first need to calculate the slope (m) and the y-intercept (b).
Since you didn't provide the actual data from the table, I'll explain the general steps you would follow to derive the equation.
1. **Identify two points from the table:** Let's say you have the points (x₁, y₁) and (x₂, y₂).
2. **Calculate the slope (m):**
\[
m = \frac{y₂ - y₁}{x₂ - x₁}
\]
3. **Find the y-intercept (b):** After you have the slope, you can substitute one of the points into the slope-intercept equation to solve for b:
\[
y = mx + b
\]
Rearranging gives:
\[
b = y - mx
\]
4. **Write the equation:** Now plug the values of m and b into the equation y = mx + b.
If you provide the specific points from your table, I can help you calculate the slope and y-intercept to create the equation directly!
Since you didn't provide the actual data from the table, I'll explain the general steps you would follow to derive the equation.
1. **Identify two points from the table:** Let's say you have the points (x₁, y₁) and (x₂, y₂).
2. **Calculate the slope (m):**
\[
m = \frac{y₂ - y₁}{x₂ - x₁}
\]
3. **Find the y-intercept (b):** After you have the slope, you can substitute one of the points into the slope-intercept equation to solve for b:
\[
y = mx + b
\]
Rearranging gives:
\[
b = y - mx
\]
4. **Write the equation:** Now plug the values of m and b into the equation y = mx + b.
If you provide the specific points from your table, I can help you calculate the slope and y-intercept to create the equation directly!