Question

What is an equation of the line that passes through the point (-1,2) and is parallel

Answer 1

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = - 3x - 1 ← equation of parallel line