Respuesta :
Answer:
(y - -2) (6 - 3) - (2 - -2) (x - 3) = 0
6y + 2 - 3y - 6 -2x +6 +2x +6 = 0
3y +8 =0
3y = -8
y = -8/3
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (6, 2)
m = [tex]\frac{2+2}{6-3}[/tex] = [tex]\frac{4}{3}[/tex]
Use either of the 2 points as the point on the line
Using (a, b) = (6, 2), then
y - 2 = [tex]\frac{4}{3}[/tex](x - 6) ← in point- slope form
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Multiply both sides of the point- slope equation by 3
3y - 6 = 4(x - 6) ← distribute
3y - 6 = 4x - 24 ( subtract 3y from both sides )
- 6 = 4x - 3y - 24 ( add 24 to both sides )
18 = 4x - 3y, that is
4x - 3y = 18 ← in standard form
