Which equation is in standard form and represents a line with slope 5 through the point (o, 2)?

5x - y = - 2

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 slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = 5 and the line passes through (0, 2) ⇒ c = 2

y = 5x + 2 ← in slope- intercept form

Subtract y from both sides

0 = 5x - y + 2 ( subtract 2 from both sides )

5x - y = - 2 ← in standard form