Question

1. m =
2. m =
3. m =
4. m =

Explanation:

Problem 7:

Step1: Identify two points

Let's take the two points on the line. From the graph, one point is \((-4, -3)\) and another is \((-1, 3)\).

Step2: Calculate the slope

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(y_2 = 3\), \(y_1=-3\), \(x_2=-1\), \(x_1 = - 4\), we get \(m=\frac{3-(-3)}{-1-(-4)}=\frac{6}{3}=2\).

Problem 8:

Step1: Identify two points

Let the points be \((-4, 3)\) and \((4, -1)\).

Step2: Calculate the slope

Using \(m=\frac{y_2 - y_1}{x_2 - x_1}\), substitute \(y_2=-1\), \(y_1 = 3\), \(x_2 = 4\), \(x_1=-4\). So \(m=\frac{-1 - 3}{4-(-4)}=\frac{-4}{8}=-\frac{1}{2}\).

Problem 9:

Step1: Analyze the lines

The two lines are vertical (parallel to y - axis). For vertical lines, the slope is undefined (since the denominator in the slope formula \(x_2 - x_1=0\)).

Problem 10:

Answer:

s:

1. \(m = 2\)
2. \(m=-\frac{1}{2}\)
3. \(m\) is undefined
4. \(m = 3\)