Question

What is the equation of the line given that the slope is 2 and it is going through the point (6,

Answer 1

Answer:

y = 2x - 20

Step-by-step explanation:

equation: y = mx + b

plug in slope

y = (2)x + b

plug in (x, y)

-8 = 2(6) + b

multiply

-8 = 12 + b

subtract

-20 = b

plug in b

y = 2x - 20

Answer 2

Answer:

              2x - y - 20 = 0

Step-by-step explanation:

$P=(6,\,-8)\quad\implies\quad x_p=6\,,\quad y_p=-8$

y = mx + b

m = 2   ⇒   y = 2x + b

The line goes through P so:  $y_p=2x_p+b$

-8 = 2(6) + b

-8 = 12 + b

b = -20

y = 2x - 20

2x - y - 20 = 0