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25 votes
25 votes
A line is parallel to y = 3x - 12 and

intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

A line is parallel to y = 3x - 12 and intersects the point (1, -2). What is the equation-example-1
User Andus
by
2.3k points

1 Answer

20 votes
20 votes

Answer:

y = 3x - 5

Explanation:

the equation of a line in slope- intercept form is

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

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

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

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

User RWGodfrey
by
2.9k points