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

`m = (-0.2 - (-0.25))/(1-0)`

`m = (-0.2 + 0.25)/(1-0)`

`m = (0.05)/(1)`

m = 0.05 (The last answer)

Answer 2

Option 4th is correct

Slope is, 0.05

Explanation:

Slope formula is given by:

`\text{Slope} = (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} = (-0.3-(-0.35))/(-1-(-2))`

⇒
`\text{Slope} = (-0.3+0.35)/(-1+2)`

⇒
`\text{Slope} = (0.05)/(1)`

Simplify:

`\text{Slope} = 0.05`

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