Question

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

intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]

Answer 1

• The equation of the original line that is parallel to the given line and intersects the point (1, -2) is y = 3x - 5.

Solution:

Given:

• Parallel line = y = 3x - 12
• Point = (1, -2)

Step-by step explanation:

• Step-1 ⇒ Let's first make a graph. (My graph is in the picture below.)
• Step-2 ⇒ Now, using the given equation, create the parallel line on the graph. (My original line is colored in red)
• Step-3 ⇒ Write down the point (1, -2) on the graph (The point is marked by a black dot).
• Step-4 ⇒ Lastly, draw the line such that it can intersect the points given and it is parallel to the given line.
• Result ⇒ Your equation should be y = 3x - 5.

Conclusion:

We can conclude that the equation of the original line that is y = 3x - 5.

Answer 2

Answer: y = 3x - 5

Explanation:

find the slope of the original line and use the point slope formula y- y1 =m(x-x1) to find the line parallel to y = 3x - 12.