Question

Point S is located at (-9. 8). Point G is located at (-3. 3). Determine the

slope-intercept equation of line SG.
Please help :)

Answer 1

y = -
`(5)/(6)` x +
`(1)/(2)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = S (- 9, 8) and (x₂, y₂ ) = G (- 3, 3)

m =
`(3-8)/(-3+9)` = -
`(5)/(6)` , then

y = -
`(5)/(6)` x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 3 ), then

3 =
`(5)/(2)` + c ⇒ c = 3 -
`(5)/(2)` =
`(1)/(2)`

y = -
`(5)/(6)` x +
`(1)/(2)` ← equation of line

Answer 2

The slope of the line will be
8-3/-9-(-3) = 5/ -6