Question

A line intersects the points

(4, 3) and (6, 9).
What is the slope of the line in
simplest form?
m = [?]

Answer 1

Hello there!

We can use the following formula, which is known as the slope formula, to find the slope of the line:

`\sf{\displaystyle(y_2-y_1)/(x_2-x_1)}`

In this formula,

• 
  `\sf{y_2}` is the y-coordinate of the second point
• 
  `\sf{y_1}` is the y-coordinate of the first point
• 
  `\sf{x_2}` is the x-coordinate of the second point
• 
  `\sf{x_1}` is the x-coordinate of the first point

We know that,

• 
  `\sf{y_2=9}`
• 
  `\sf{y_1=3}`
• 
  `\sf{x_2=6}`
• 
  `\sf{x_1=4}`

All we should do is plug in the values:

• 
  `\sf{\displaystyle(9-3)/(6-4)=(6)/(2)=3 }`

Our answer is:

`\sf{Slope=3}`

I hope this helps, please feel free to ask if you have any queries regarding my answer. I also hope that you're going to have a lovely day ahead! ^^

`\wp\rm{Rosalia}\wp`