Question

A line that includes the points (-9, 6) and (-3, s) has a slope of -1. What is the value of s?

Answer 1

`\large\sf \: s = 0`

Value of s is 0.

Explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

• m , is the slope which is -1
• ( y ² - y ¹ ) = ( s - 6 )
• ( x ² - x ¹) = ( - 3 - ( - 9 ) )

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Answer 2

s=0

Explanation:

We have two points so we can use the slope formula

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

-1 = (s-6)/(-3 - -9)

-1 = (s-6)/(-3 +9)

-1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0