Question

1. find the slope of line a:

1. find the slope of line b:

1. find the slope of line c:

1. find the slope of line d:

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Find slope of line a

Let's take two points on line a, say $(0, 5)$ and $(5,0)$. Then $m_a=\frac{0 - 5}{5 - 0}=\frac{-5}{5}=- 1$.

Step3: Find slope of line b

Line b is a horizontal line. For a horizontal line, the $y$-coordinates of all points are the same. Let two points be $(0,2)$ and $(5,2)$. Then $m_b=\frac{2 - 2}{5 - 0}=0$.

Step4: Find slope of line c

Take two points on line c, say $(0,0)$ and $(5,5)$. Then $m_c=\frac{5 - 0}{5 - 0}=1$.

Step5: Find slope of line d

Line d is a vertical line. For a vertical line, the $x$-coordinates of all points are the same. The slope formula results in division by zero. So the slope of line d is undefined.

Answer:

1. -1
2. 0
3. 1
4. Undefined