Question

Find the slope of the line that goes through (1, 3) and (8, 5). Simplify your answer.

a) -1/7
b) 2/7
c) 7/2
d) 7/3

Answer 1

The slope of the line that goes through the points (1, 3) and (8, 5) is calculated by the formula (y2 - y1) / (x2 - x1) and results in 2/7, which represents a steady increase in the vertical direction for every increase in the horizontal direction.

Step-by-step explanation:

To find the slope of the line passing through two points, you can use the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

For the points given in the question (1, 3) and (8, 5):

• 
  
• 
  

Now, apply the formula:

Slope (m) = (5 - 3) / (8 - 1)

Slope (m) = 2 / 7

Therefore, the slope of the line that goes through the points (1, 3) and (8, 5) is 2/7. This means that for every 7 units increase in the horizontal direction (along the x-axis), there is a 2 units increase in the vertical direction (along the y-axis).

Answer 2

2/7

Step-by-step explanation:

The slope of a line passing through two points
`\sf (x_1, y_1) \:and \:(x_2, y_2)`can be found using the formula:

`\sf \text{Slope} = (y_2 - y_1)/(x_2 - x_1)`

Given the points ( 1 , 3 )and (8, 5),we can calculate the slope:

`\text{Slope} = (5 - 3)/(8 - 1) \\\\ \text{Slope} = (2)/(7)`