Question

6
Write the equation of the graph in the form of
𝑦
=
𝑚
𝑥
+
𝑏
y=mx+b that matches. Click Here for Help Video.



Line J


𝑦
=
y=

𝑥

+
x +




Line K

𝑦
=
y=

𝑥
+
x+




Line L



𝑦
=
y=

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+
x+

Answer 1

To write the equations for Lines J, K, and L in the slope-intercept form \( y = mx + b \), we need the values for the slope \( m \) and the y-intercept \( b \) for each line. Since I cannot see the graph you are referring to, I will describe how you can derive these equations given the necessary information:

1. **Identify Points**: If you have points that the lines pass through (for example, (x₁, y₁) and (x₂, y₂)), you can find the slope \( m \) using the formula:
\[
m = \frac{y₂ - y₁}{x₂ - x₁}
\]

2. **Y-Intercept (b)**: Once you have the slope \( m \), you can find the y-intercept \( b \) using one of the points on the line:
\[
b = y - mx
\]
Just plug in the x and y values of the point you used.

3. **Construct the Equation**: With the values of \( m \) and \( b \), you can construct the equation for the line in the form \( y = mx + b \).

Please provide the coordinates of points on Lines J, K, and L, or any other relevant details (like the slope or y-intercept), and I can assist you in writing the equations for those lines.