Question

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

Answer 1

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

Answer 2

Answer:

y = - $\frac{5}{6}$ x + $\frac{1}{2}$

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{3-8}{-3+9}$ = - $\frac{5}{6}$ , then

y = - $\frac{5}{6}$ x + c ← is the partial equation

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

Using (- 3, 3 ), then

3 = $\frac{5}{2}$ + c ⇒ c = 3 - $\frac{5}{2}$ = $\frac{1}{2}$

y = - $\frac{5}{6}$ x + $\frac{1}{2}$ ← equation of line