Question

Find the slope of the line passing through the two points.

Chapter Reference
b
(12, 1), (36, 42) and (–1, –8), (–7, –4)
These are different question

Answer 1

The slope of a line passing through the points (1, 0.1) and (7, 26.8) is found by subtracting the y-coordinates and the x-coordinates and then dividing the former by the latter, resulting in a slope of approximately 4.45, which is option 'b'.

Step-by-step explanation:

Finding the Slope of a Line Given Two Points

To find the slope of a line passing through two points, you use the formula: slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Lets calculate the slope for the points (1, 0.1) and (7, 26.8).

1. 
   
3. 
   
5. 
   

The slope of a line passing through these two points is therefore approximately 4.45, which matches option b.

Answer 2

`(41)/(24)` and -
`(2)/(3)`

calculate the slope m using the gradient formula

m = ( y₂ - y₁ )/ (x₂ - x₁ )

with (x₁, y₁ ) = (12, 1 ) and (x₂, y₂ ) = (36, 42 )

m =
`(42-1)/(36-12)` =
`(41)/(24)`

repeat with (x₁ y₁ ) = (- 1, - 8 ) and (x₂, y₂ ) = (- 7, - 4 )

m =
`(-4+8)/(-7+1)` =
`(4)/(-6)` = -
`(2)/(3)`