Question

What is equation of a line with slope of 3 that goes through the point of (7,-1)

Answer 1

Answer:

y = 3x - 22

Step-by-step explanation:

y = mx + b

plug in slope

y = (3)x + b

plug in (x, y)

-1 = 3(7) + b

multiply

-1 = 21 + b

subtract

-22 = b

plug in b

y = 3x - 22

Answer 2

Answer:

              3x - y = 22

Step-by-step explanation:

$P=(7,\,-1)\quad\implies\quad x_p=7\,,\quad y_p=-1$

y = mx + b

m = 3   ⇒   y = 3x + b

The line goes through P so:  $y_p=3x_p+b$

-1 = 3(7) + b

-1 = 21 + b

b = -22

y = 3x - 22

3x - y = 22