Considering the definition of parallel line, the equation of the line d is y= 3x -7.
A linear equation o line can be expressed in the form y = mx + b
where
Parallel lines are two lines that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope and different y-intercepts.
In this case, the line is y=3x-4
where:
Since two lines are parallel if they have the same slope, the parallel line has a slope of 3.
The line passes through the point (2, -1). Replacing in the expression for a line:
-1= 3× 2 + b
-1= 6 + b
-1 -6= b
- 7= b
Finally, the equation of parallel line is y= 3x -7.
Learn more about parallel line:
brainly.com/question/7197064
brainly.com/question/11470863
brainly.com/question/7280013
#SPJ1
