Question

Which is the equation of the line that passes through the point (2 -2) and has a slope of 3

Answer 1

y = 3x - 8

Explanation:

The equation of a line in slope- intercept form is

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

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (2, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = 3x - 8 ← equation of line

Answer 2

y = 3x - 8

Explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Random pt (2, -2)

Slope m = 3

Step 2: Substitute known variables

y = 3x + b

Step 3: Find b

-2 = 3(2) + b

-2 = 6 + b

-8 = b

Step 4: Rewrite linear equation

y = 3x - 8