Question

What is the slope of line a

-1/3
3
-3
1/3

Answer 1

slope =
`(1)/(3)`

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m =
`(0-(-1))/(3-0)` =
`(0+1)/(3)` =
`(1)/(3)`

Answer 2

`(1)/(3)`

Explanation:

`\boxed{\begin{minipage}{4.3cm}\begin{center}\underline{Slope of a line}\end{center}\\\\\begin{center}$m=(y_2-y_1)/(x_2-x_1)$\end{center}\\\\\\\begin{center}where $(x_1,y_1)$ and $(x_2,y_2)$\\are two points on the line.\end{center}\end{minipage}}`

Define two points on the line of the given graph:

• 
  `\text{Let}\:(x_1,y_1)=(-3,-2)`

• 
  `\text{Let}\:(x_2,y_2)=(3,0)`

Substitute the defined points into the slope formula:

`\implies m=(y_2-y_1)/(x_2-x_1)=(0-(-2))/(3-(-3))=(2)/(6)=(1)/(3)`

Therefore, the slope of the line is ¹/₃.