Question

What is the slope of the line represented by the points in the table?
x y
–2 –0.35
–1 –0.3
0 –0.25
1 –0.2
2 –0.15

-0.05
-.005
.005
.05

Answer 1

To find the slope(m) of the line, you can use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

and plug in 2 points.

You can use any of the points, I will be using the points (0, -0.25) and (1, -0.2)

$m = \frac{y_{2}-y_{1}}{y_{2}-x_{1}}$

$m = \frac{-0.2 - (-0.25)}{1-0}$

$m = \frac{-0.2 + 0.25}{1-0}$

$m = \frac{0.05}{1}$

m = 0.05  (The last answer)

Answer 2

Answer:

Option 4th is correct

Slope is, 0.05

Step-by-step explanation:

Slope formula is given by:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$      ....[1]

From the given table;

Consider any two points i.e,

(-2, -0.35) and (-1, -0.3)

Substitute in [1] we have;

$\text{Slope} = \frac{-0.3-(-0.35)}{-1-(-2)}$

⇒$\text{Slope} = \frac{-0.3+0.35}{-1+2}$

⇒$\text{Slope} = \frac{0.05}{1}$

Simplify:

$\text{Slope} = 0.05$

Therefore, the  slope of the line represented by the points in the table is, 0.05