Question

The points(13,-6) and (8,-11) fall on a particular line. What is its equation in slope- intercept form?

Answer 1

y = x - 19

Explanation:

Slope intercept form of a line is y = mx + b.

• y = y-coordinate
• m = slope
• x = x-coordinate
• b = y-intercept.

To find slope we use the formula
`(y_2-y_1)/(x_2-x_1)`

• 
  `(-11+6)/(8-13)`
• 
  `-5/-5`
• 
  `1`

Now, to find the y-intercept we take the values of a point and plug them into our equation so far.

• 
  `-6=13+b`
• 
  `-6-13=13+b-13`
• 
  `b = -19`

Therefore, the answer is y = x - 19.

Have a lovely rest of your day/night, and good luck with your assignments! ♡