231k views
0 votes
Write an equation (in y-form) or the line that is parallel to y = -3x + 1 and contains (4, 2)

User Laydee
by
8.2k points

1 Answer

4 votes

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

User Raynita
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories