Answer:
y = 6x - 9
Step-by-step explanation:
The slope-interce equation is;
y = m*x + b (1)
Where m is the slope, and b axis y intercept, to determine m, we use the coordinates of two different points.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
P ( 3 , 9 ) Q ( 2 , 3 )
m = ( 3 - 9 ) / ( 2 - 3 ) ⇒ m = -6/ -1 m = 6
If Q is a point in the line, then plugging values in equation (1) of Q ( 2 , 3) and m, we get
y = m*x + b ⇒ 3 = 6*(2) + b ⇒ 3 = 12 + b
b = - 9
And the equation of the line is
y = 6x - 9
