Answer :
Answer:
see explanation
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = [tex]\frac{-3+6}{2+2}[/tex] = [tex]\frac{3}{4}[/tex], thus
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 3 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{9}{2}[/tex]
y = [tex]\frac{3}{4}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line