Answer :
Answer:
4x - 3y = 5
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equation in point- slope form
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 ) = (- 1, - 3) and (x₂, y₂ ) = (2, 1)
m = [tex]\frac{1+3}{2+1}[/tex] = [tex]\frac{4}{3}[/tex]
Using (a, b) = (2, 1), then
y - 1 = [tex]\frac{4}{3}[/tex] (x - 2) ← in point- slope form
Multiply both sides by 3
3y - 3 = 4(x - 2) ← distribute and rearrange
3y - 3 = 4x - 8 ( add 8 to both sides )
3y + 5 = 4x ( subtract 3y from both sides )
5 = 4x - 3y, so
4x - 3y = 5 ← in standard form