Question

Write an equation of the line passing through point P(0, −1)P(0, −1) that is parallel to the line y = −2x+3y = −2x+3.

Answer 1

Answer:

y = - 2x - 1

Step-by-step explanation:

Assuming the line has equation y = - 2x + 3

The equation of a line in slope- intercept form is

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

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, thus

y = - 2x + c ← is the partial equation

Note the line passes through (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of parallel line