Question

Write an equation (in y-form) or the line that is parallel to y = -3x + 1 and contains (4, 2)

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal. A line parallel to
`y = -3x + 1`, will have the same slope -3. Thus, the equation will be of the form:

`y = -3x + b`

We substitute the given point and find "b":

`2=-3(4)+b\\2=-12+b\\2+12=b\\b=14`

Finally, the equation is:

`y = -3x + 14`

Answer:

`y = -3x + 14`