Answer:
y = 2x - 20
Step-by-step explanation:
Equation of line: y =mx +b
where m is slope and b is y-intercept.
y + 1 = 2(x - 3)
Write this equation in y = mx + b form.
y + 1 = 2x - 2*3
y + 1 =2x - 6
y = 2x - 6 - 1
y = 2x - 7
m =2
Parallel lines have same slope.
Slope of the required line = 2
y = 2x + b
The point (9,-2) passes through the line. Substitute in the above equation and find the value of 'b'.
-2 = 9*2 + b
-2 = 18 + b
-2 - 18 = b
[tex]\sf \boxed{b = -20}[/tex]
Equation of the required line:
y = 2x - 20
