Solve the equation of the line which is parallel to the line 3x +4y =6 and passes through (2, 1)

Alvin Parks

Alvin Parks

Answered question

2022-11-10

Solve the equation of the line which is parallel to the line 3x +4y =6 and passes through (2, 1)

Answer & Explanation

Kaeden Lara

Kaeden Lara

Beginner2022-11-11Added 23 answers

3 x + 4 y = 6
Let's solve for y so we can have the equation in standard slope-intercept form:
4 y = - 3 x + 6
y = - 3 4 x + 3 2
This is in the form of:
y=mx+b where m is slope and b is the y-intercept which is where the line crosses the y-axis.
Fahdvfm

Fahdvfm

Beginner2022-11-12Added 3 answers

Comparing the two we see that:
m = - 3 4 and b = 3 2
For a line to be parallel to this line, it would have to have the same slope, i.e. its equation would be:
y = - 3 4 x + b
Now, we can use the coordinates of the point the line goes through and plug them into this equation to solve for b:
1 = - 3 4 ( 2 ) + b
1 = - 3 2 + b
b = 1 + 3 2 = 2 2 + 3 2 = 5 2
Therefore, the equation of the line is:
y = - 3 4 x + 5 2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?